Temas regionais em atividades de geometria: uma proposta na formação continuada de professores de Manaus (AM)

Pós-graduação em Educação Matemática - IGCE

O ensino de geometria no ciclo II do ensino fundamental: um estudo analítico

Pós-graduação em Educação - FFC

A geometria euclidiana na licenciatura em matemática do ponto de vista de professores formadores

Pós-graduação em Educação Matemática - IGCE

Bóvedas sexpartitas : los orígenes del gótico

Uno de los capítulos más interesantes del gótico europeo lo constituyen las bóvedas sexpartitas, sin lugar a dudas una de las bóvedas más singulares jamás creadas dentro de este estilo. Las primeras bóvedas góticas, en cruce de ojivas y de planta cuadrada, limitaban su uso a espacios relativamente pequeños, pero ante la necesidad de cubrir espacios de considerables dimensiones, apareció una nueva bóveda de características muy peculiares; la sexpartita. Esta bóveda en cruce de ojivas está reforzada por el centro con un arco paralelo a los arcos fajones que la divide por la mitad y que fragmenta el arco formero en dos, creando una pareja de ventanales en cada lado. La sencilla superficie en bóveda de arista, en el origen de las bóvedas de crucería, se complica extraordinariamente creando una volumetría de gran complejidad con seis cuarteles de plementería y con seis apoyos de distinto tamaño, cuatros esquineros y dos centrales más pequeños. Las dificultades que implica la construcción de este tipo de bóvedas explican quizás su abandono prematuro y la vuelta a la bóveda de crucería simple, ahora de tramos rectangulares. No obstante, a pesar de su corta existencia, la bóveda sexpartita fue la gran protagonista de los inicios del gótico y con ella se llevaron a cabo importantes abovedamientos, desde Inglaterra hasta Rumanía. La disciplina de la Historia de la Construcción se vio extraordinariamente favorecida por los estudios realizados en el siglo XIX, sin embargo su investigación se abandona durante el siglo XX para ser recuperada recientemente. Viollet-le-Duc, a finales del s. XIX, hace una sucinta explicación de este tipo de bóvedas. También Auguste Choisy, más tarde, dedica unas páginas a la bóveda sexpartita francesa; desde entonces, este tema, ha merecido escasísimas referencias en los estudios posteriores. Esta investigación se enmarca en este contexto y pretende poner de manifiesto los conocimientos geométricos y constructivos que hicieron posible la realización de las bóvedas sexpartitas europeas. Para ello se ha llevado a cabo la investigación de las principales bóvedas en Europa occidental; Francia, España, Inglaterra, Alemania, Suiza e Italia. Su estudio comparativo nos ha permitido poner de manifiesto sus características constructivas comunes y aquellos aspectos propios de cada país, así como algunos de los canales de comunicación que permitieron la expansión de esta arquitectura. Las nuevas tecnologías de medición, el escáner láser, la estación total, la fotogrametría, etc., han supuesto una revolución para la documentación y restauración del Patrimonio y un salto cualitativo formidable para el análisis de las bóvedas góticas, permitiendo estudios de la arquitectura histórica hasta ahora inabordables. Para realizar el análisis de las bóvedas sexpartitas europeas se ha llevado a cabo un levantamiento exhaustivo de las mismas, lo que ha permitido definir su despiece, obteniendo la forma de la talla de cada uno de los elementos constructivos que la componen; jarjas, dovelas, claves y plementería. La obtención de estos datos nos ha permitido abordar un profundo estudio de su estereotomía y construcción, aportando datos inéditos hasta el momento. Por otro lado se ha llevado a cabo la detección y catalogación de las principales bóvedas sexpartitas que aún se conservan en Europa. Los estudios realizados nos permiten afirmar que la bóveda sexpartita surge en Francia en la segunda mitad del siglo XII, utilizándose en las principales catedrales francesas, como Notre Dame de Paris, Bourges o Laon. A comienzos del siglo XIII cae en desuso en Francia y comienza su expansión por el resto de Europa, donde se abandona medio siglo después, desapareciendo definitivamente del gótico europeo. Mientras que los ejemplos que datan del siglo XII muestran soluciones escasamente desarrolladas y propias del románico, las bóvedas construidas en el siglo XIII muestran soluciones enormemente complejas, con grandes jarjamentos e inteligentes estrategias constructivas y geométricas que permiten la simplificación de sus estructuras auxiliares y una mayor libertad en su diseño. Estas bóvedas son el reflejo del desarrollo de la estereotomía gótica en sus comienzos por lo que su estudio nos ha permitido conocer el desarrollo y la evolución del gótico primitivo en Europa. ABSTRACT One of the most interesting chapters of European Gothic is the sexpartite vault, without doubt one of the most remarkable vaults ever created within this style. The first Gothic vaults, with crossed ribs on a square base, were restricted to relatively small areas, but a new vault, with very particular characteristics emerged to address the need to cover spaces of considerable size; the sexpartite vault. This cross-ribbed vault is reinforced in the centre by an arch that runs parallel to the transverse arches, divides the vault in half and splits the wall arch in two, creating a pair of windows, one on each side. The simple groin vault surface, the source of ribbed vaults, was greatly complicated creating a highly complex volume with six sections of severies and with six supports of different sizes, four on the corners and two smaller central ones. The construction difficulties involved in building this type of vault may explain its premature abandonment and a return to the simple cross-ribbed vault, now in rectangular sections. However, despite its brief existence, the sexpartite vault was the great protagonist of the beginnings of Gothic architecture and important vaulting was built using this system from England to Romania. Studies undertaken in the 19th century helped the History of Construction as a discipline tremendously. Research was abandoned during the twentieth century however, and has only recently been taken up again. Towards the end of the 19th century, Viollet-le-Duc gave a brief description of this type of vault. Later, Auguste de Choisy also devoted some pages to the French sexpartite vault; since then, later studies have made very few references to it. Against this background, this research now attempts to bring to light the knowledge of geometry and construction that made the construction of the European sexpartite vault possible. To this end, the main vaults in Western Europe - France, Spain, England, Germany, Switzerland and Italy, have been studied. By making a comparative study we have been able to reveal the common construction features and those that are specific to each country, as well as some of the channels of communication that enabled this architecture to spread. New measuring technologies, the laser scanner, total station, photogrammetry, etc., have given rise to a revolution in heritage documentation and restoration, as well as facilitating a huge qualitative leap for the analysis of Gothic vaults, enabling studies of historical architecture that until now were inaccessible. A comprehensive survey was carried out to be able to analyse European sexpartite vaults. We could thus create an exploded view, which enabled us to obtain the form of each of the elements; tas-de-charges, voussoirs, keystones and severies. The data gathered provided previously unknown facts that enabled us to make an in-depth study of stereotomy and construction. Furthermore, the main sexpartite vaults still preserved in Europe have been identified and categorised. The studies undertaken allowed us to affirm that the sexpartite vault appeared in France in the second half of the twelfth century, being used in the main French cathedrals, such as Notre Dame de Paris, Bourges or Laon. At the beginning of the thirteenth century it fell into disuse in France and began to expand throughout the rest of Europe, where it was abandoned half a century later, disappearing from European Gothic for good. While the examples dating back to the 12th century display poorly developed solutions more characteristic of the Romanesque, the vaults built in the 13th century reveal enormously complex solutions, with large tas-de-charges and intelligent construction and geometric strategies that allowed auxiliary support structures to be simplified, and gave more freedom to design. These vaults reflect the beginnings of Gothic stereotomy and by studying them we have been able to learn more about the development and evolution of Early Gothic architecture in Europe.

Formas del discurso y razonamiento configural de estudiantes para maestros en la resolución de problemas de geometría

Este trabajo tiene como objetivo estudiar la relación entre las formas del discurso generado por los estudiantes para maestro al resolver problemas de geometría de probar y el razonamiento configural. Analizamos las respuestas de 97 estudiantes para maestro a dos problemas de probar para determinar cómo identificaban y relacionaban propiedades geométricas para deducir nuevos hechos y propiedades de las figuras. Los resultados muestran tres formas del discurso generado por los estudiantes para maestro para comunicar su resolución: gráfico, texto y una mezcla de los dos; y que las formas del discurso generado no influyen en el truncamiento del razonamiento configural que desencadena los procesos deductivos.

Estudo da circunferência no ensino médio: sugestões de atividades com a utilização do software geogebra

Esta dissertação propõe sete atividades acerca do estudo da circunferência para alunos do Ensino Médio. A maioria das atividades propostas utilizam o software gratuito de geometria dinâmica GeoGebra como ferramenta de aprendizagem. Programa com diversas vantagens. Além da concepção da geometria dinâmica, a associação entre Geometria e Álgebra, relação enfatizada até no seu nome. As atividades sugeridas abordam os seguintes conteúdos: equações da circunferência (reduzida e geral), análise da equação completa do 2o grau a duas variáveis, método de completar quadrados para reestabelecimento do centro e medida do raio da circunferência, posição relativa entre ponto e circunferência, reta e circunferência e entre duas circunferências. No presente trabalho consta ainda uma análise de alguns livros didáticos para ciência do que está sendo oportunizado ao professor como subsídio para suas aulas. Associamos esta análise também com a argumentação de que o produto deste trabalho é inovador. Mostraremos também a análise das atividades que embasaram a proposta desse trabalho quando aplicadas nas turmas de 3o ano do Instituto Federal do Rio Grande do Sul - Campus Rio Grande, assim como os resultados de uma pesquisa feita sobre os conhecimentos prévios dos alunos sobre geometria do Ensino Fundamental, especificamente relacionados ao círculo.

Experimental and clinical radiofrequency ablation: proposal for standardized description of coagulation size and geometry.

BACKGROUND: Radiofrequency (RF) ablation is used to obtain local control of unresectable tumors in liver, kidney, prostate, and other organs. Accurate data on expected size and geometry of coagulation zones are essential for physicians to prevent collateral damage and local tumor recurrence. The aim of this study was to develop a standardized terminology to describe the size and geometry of these zones for experimental and clinical RF. METHODS: In a first step, the essential geometric parameters to accurately describe the coagulation zones and the spatial relationship between the coagulation zones and the electrodes were defined. In a second step, standard terms were assigned to each parameter. RESULTS: The proposed terms for single-electrode RF ablation include axial diameter, front margin, coagulation center, maximal and minimal radius, maximal and minimal transverse diameter, ellipticity index, and regularity index. In addition a subjective description of the general shape and regularity is recommended. CONCLUSIONS: Adoption of the proposed standardized description method may help to fill in the many gaps in our current knowledge of the size and geometry of RF coagulation zones.

Knowledge and willingness to pay for the conservation of wildlife species: Experimental results evaluating Australian tropical species

The nature of an experiment involving 204 residents is outlined and the results are reported and analysed. Two consecutive surveys of the respondents provide data about their stated knowledge of 23 wildlife species present in tropical Australia, most of which exclusively occur there. In addition, these surveys provide data about the willingness of respondents to pay for the conservation of those species belonging to three taxa; reptiles, mammals, and birds. Thus it is possible to compare the respondents’ stated knowledge of the species with their willingness to pay for their conservation, and to draw relevant inferences from this. From the initial survey and these associations, interesting relationships can be observed between those variables (knowledge and willingness to pay). The second survey was completed after the respondents’ knowledge of the species was experimentally increased and became more balanced. This is shown to result in increased dispersion (greater discrimination) in willingness to contribute to conservation of the different species in the set of wildlife species considered. Both theoretical and policy conclusions are drawn from the results.

Pro re nata medication for psychoses: the knowledge and beliefs of doctors and nurses

Objective: To examine the knowledge and beliefs of doctors and nurses in inpatient psychiatric units about pro re nata (PRN) (as needed) medications for psychotic disorders. Methods: Medical (n = 44) and nursing (n = 80) staff in two metropolitan public hospital units completed a structured questionnaire about their use of PRN psychotropic medications on one occasion during the four months from March-June 1999. Results: Nurses selected more indications for PRN antipsychotics than doctors (3.49 vs 2.72, p < 0.05), whereas doctors selected more indications for PRN benzodiazepines (3.77 vs 3.19, p < 0.05). The groups did not differ in the number of selected indications for using anticholinergics. For agitation, the majority of nurses viewed both benzodiazepines (56%) and antipsychotics (86%) as effective, with 60% preferring an antipsychotic. For the acute control of psychotic symptoms, 99% of nurses believed antipsychotics were effective and 58% benzodiazepines, with 87% preferring an antipsychotic. A large majority of doctors viewed both PRN benzodiazepines, 94% ,and antipsychotics, 81%, as effective for agitation, and 55% preferred to use a benzodiazepine. For psychotic symptoms, 80% believed PRN antipsychotics were effective, but only 32% viewed benzodiazepines as effective, and 64% preferred to use an antipsychotic. Nursing staff identified more non-pharmacological techniques for managing both agitation and psychotic symptoms and reported using these more often than doctors. Junior staff, both nursing and medical, had less knowledge of non-pharmacological alternatives to PRN medication than senior staff. Conclusions: Disparities existed between doctors and nurses views on the indications for PRN medication in the acute management of psychoses, thus it is important for doctors to specify indications when writing PRN prescriptions. Despite evidence for the safety and effectiveness of benzodiazepines, there was widespread reluctance to use them as PRN medication in acute psychoses. Beliefs of some staff about PRN medications were at odds with the known properties of these medicines. Educational interventions for both nurses and doctors are required to achieve best practice in PRN medication.

Valuing of firm's prior knowledge: A measure of knowledge distance

Knowledge, especially scientific and technological knowledge, grows according to knowledge trajectories and guideposts that make up the prior knowledge of an organization. We argue that these knowledge structures and their specific components lead to successful innovation. A firm's prior knowledge facilitates the absorption of new knowledge, thereby renewing a firm's systematic search, transfer and acquisition of knowledge and capabilities. In particular, the exponential growth in biotechnology is characterized by the convergence of disparate scientific and technological knowledge resources. This paper examines the shift from protein-based to DNA-based diagnostic technologies as an example, to quantify the value of a firm's prior knowledge using relative values of knowledge distance. The distance between core prior knowledge and the rate of transition from one knowledge system to another has been identified as a proxy for the value a firm's prior knowledge. The overall difficulty of transition from one technology paradigm to another is discussed. We argue this transition is possible when the knowledge distance is minimal and the transition process has a correspondingly high value of absorptive capacities. Our findings show knowledge distance is a determinant of the feasibility, continuity and capture of scientific and technological knowledge. Copyright © 2003 John Wiley & Sons, Ltd.

The Knowledge and Use of the Balanced Scorecard in Portugal: Empirical Evidence of the 250 Largest Companies

Balanced Scorecard (BSC) is recognized, both in the academic and business world, as one of the most powerful strategic management accounting tools. Thus, we launched in October 2004 a questionnaire survey applied to the 250 largest Portuguese companies aiming at observing the knowledge, use, and companies’ characteristics which are adopting this management instrument. Despite the majority of the companies inquired recognize BSC more as a strategic management tool than a performance valuation system, the results show that there is still a reduced and recent utilization of BSC in Portugal. Similarly to other countries Portugal is still in the initial state of BSC utilization. Our work has shown that the companies that use more BSC belong mainly to the secondary sector of industry. Nevertheless, unlike other studies, we did not get empirical evidence on the influence of variables such as geographical localization, dimension and internationalization, in the use and knowledge of BSC in Portugal.

Effects of a mental health training program on health care worker's knowledge and attitude and practice in Belize

ABSTRACT This study was conducted to assess mental health knowledge, attitude and practices among health care workers in Belize before and immediately after a competency based training program in mental health. A baseline Knowledge, Attitudes and Practices (KAP) survey was given to health personnel, mainly nurses, working primary and secondary care. The intervention was a 13-week face-to-face training course for health care professionals with the objective of increasing their competency in mental health and reducing stigma. After the training a post intervention KAP survey was conducted among the original respondents. 88 health care workers completed the baseline survey and 61 of those respondents completed the post-intervention questionnaire. The results showed that the level of knowledge of the participants had improved by the training intervention and that in general, the intervention was effective in correcting some misconceptions about mental illness and reducing stigmatizing attitudes among the participants.

From Consciousness to Knowledge – The Explanatory Power of Revelation

Epistemology in philosophy of mind is a difficult endeavor. Those who believe that our phenomenal life is different from other domains suggest that self-knowledge about phenomenal properties is certain and therefore privileged. Usually, this so called privileged access is explained by the idea that we have direct access to our phenomenal life. This means, in contrast to perceptual knowledge, self-knowledge is non-inferential. It is widely believed that, this kind of directness involves two different senses: an epistemic sense and a metaphysical sense. Proponents of this view often claim that this is due to the fact that we are acquainted with our current experiences. The acquaintance thesis, therefore, is the backbone in justifying privileged access. Unfortunately the whole approach has a profound flaw. For the thesis to work, acquaintance has to be a genuine explanation. Since it is usually assumed that any knowledge relation between judgments and the corresponding objects are merely causal and contingent (e.g. in perception), the proponent of the privileged access view needs to show that acquaintance can do the job. In this thesis, however, I claim that the latter cannot be done. Based on considerations introduced by Levine, I conclude that this approach involves either the introduction of ontologically independent properties or a rather obscure knowledge relation. A proper explanation, however, cannot employ either of the two options. The acquaintance thesis is, therefore, bound to fail. Since the privileged access intuition seems to be vital to epistemology within the philosophy of mind, I will explore alternative justifications. After discussing a number of options, I will focus on the so called revelation thesis. This approach states that by simply having an experience with phenomenal properties, one is in the position to know the essence of those phenomenal properties. I will argue that, after finding a solution for the controversial essence claim, this thesis is a successful replacement explanation which maintains all the virtues of the acquaintance account without necessarily introducing ontologically independent properties or an obscure knowledge relation. The overall solution consists in qualifying the essence claim in the relevant sense, leaving us with an appropriate ontology for phenomenal properties. On the one hand, this avoids employing mysterious independent properties, since this ontological view is physicalist in nature. On the other hand, this approach has the right kind of structure to explain privileged self-knowledge of our phenomenal life. My final conclusion consists in the claim that the privileged access intuition is in fact veridical. It cannot, however, be justified by the popular acquaintance approach, but rather, is explainable by the controversial revelation thesis.

Level of behavior and knowledge concerning human papillomavirus among university students of a nursing college

INTRODUCTION: Human pappilomavirus is one of the most common sexually transmitted diseases, and persistent HPV infection is considered the most important cause of cervical cancer. It is detected in more than 98% of this type of cancer. This study aimed to determine the level of knowledge concerning human papillomavirus among nursing college students of a private educational institution located in the City of Bauru, SP, and correlate their knowledge according to the course year. METHODS: A descriptive study with a quantitative approach, performed with a questionnaire that permitted the quantification of data and opinions, thus guaranteeing the precision of the results without distortions in analysis or interpretation. The survey was applied to randomly selected 1st, 2nd, 3rd, and 4th-year nursing college students. Twenty students from each level were selected during August 2009, totaling 80 students of both genders. RESULTS: Observation revealed that 4th-year students had greater knowledge than 1st-year students, reflecting the greater period of study, the lack of knowledge of 1st-year students was due to the low level of information acquired before entering college. CONCLUSIONS: The need for complementary studies which determine the profile and knowledge of a larger number of teenagers in relation to HPV was established. The need for educational programs that can overcome this lack of information is undeniable, especially those aimed at making adolescents less susceptible to HPV and other STDs.

Toxoplasmosis: an examination of knowledge among health professionals and pregnant women in a municipality of the State of Paraná

Introduction The aim of this study was to investigate the knowledge of toxoplasmosis among professionals and pregnant women in the public health services in Paraná, Brazil. Methods A cross-sectional observational and transversal study of 80 health professionals (44 nurses and 36 physicians) and 330 pregnant women [111 immunoglobulin M (IgM)- and IgG-non-reactive and 219 IgG-reactive] was conducted in 2010. An epidemiological data questionnaire was administered to the professionals and to the pregnant women, and a questionnaire about the clinical aspects and laboratory diagnosis of toxoplasmosis was administered to the professionals. Results The participants frequently provided correct responses about prophylactic measures. Regarding the clinical and laboratory aspects, the physicians provided more correct responses and discussed toxoplasmosis with the pregnant women. The professionals had difficulty interpreting the avidity test results, and the physicians stated that they referred pregnant women with high-risk pregnancies to a county reference center. Of the professionals, 53 (91.4%) reported that they instructed women during prenatal care, but only 54 (48.6%) at-risk pregnant women and 99 (45.2%) women who were not at risk reported receiving information about preventive measures. The physicians provided verbal instructions to 120 (78.4%) women, although instructional materials were available in the county. The pregnant women generally lacked knowledge about preventive measures for congenital toxoplasmosis, but the at-risk pregnant women tended to respond correctly. Conclusions This study provides data to direct public health policies regarding the importance of updating the knowledge of primary care professionals. Mechanisms should be developed to increase public knowledge because prophylactic strategies are important for preventing congenital toxoplasmosis.