Uma proposta didático-pedagógica para o estudo da concepção clássica de probabilidade

We present in this paper a pedagogical-didactic proposal for the teaching of Laplace Probability. The starting point for building the concept of probability is a game situation associated with the methodology of problem-solving. The theoretical reference for the concept of game is constructivist teaching of mathematics. Mathematical knowledge is constructed based on problems that generate new concepts and / or new content. The proposed game is original. Our proposal can be used both in the last cycle of basic education but also in high school, and may inform the practice of teachers who teach basic concepts of probability.

Characterization of the genetic diversity of Mycobacterium tuberculosis in São Paulo city, Brazil

Background: Tuberculosis is a major health problem in São Paulo, Brazil, which is the most populous and one of the most cosmopolitan cities in South America. To characterize the genetic diversity of Mycobacterium tuberculosis in the population of this city, the genotyping techniques of spoligotyping and MIRU were applied to 93 isolates collected in two consecutive years from 93 different tuberculosis patients residing in São Paulo city and attending the Clemente Ferreira Institute (the reference clinic for the treatment of tuberculosis). Findings. Spoligotyping generated 53 different spoligotype patterns. Fifty-one isolates (54.8%) were grouped into 13 spoligotyping clusters. Seventy- two strains (77.4%) showed spoligotypes described in the international databases (SpolDB4, SITVIT), and 21 (22.6%) showed unidentified patterns. The most frequent spoligotype families were Latin American Mediterranean (LAM) (26 isolates), followed by the T family (24 isolates) and Haarlem (H) (11 isolates), which together accounted for 65.4% of all the isolates. These three families represent the major genotypes found in Africa, Central America, South America and Europe. Six Spoligo-International- types (designated SITs by the database) comprised 51.8% (37/72) of all the identified spoligotypes (SIT53, SIT50, SIT42, SIT60, SIT17 and SIT1). Other SITs found in this study indicated the great genetic diversity of M. tuberculosis, reflecting the remarkable ethnic diversity of São Paulo city inhabitants. The MIRU technique was more discriminatory and did not identify any genetic clusters with 100% similarity among the 93 isolates. The allelic analysis showed that MIRU loci 26, 40, 23 and 10 were the most discriminatory. When MIRU and spoligotyping techniques were combined, all isolates grouped in the 13 spoligotyping clusters were separated. Conclusions: Our data indicated the genomic stability of over 50% of spoligotypes identified in São Paulo and the great genetic diversity of M. tuberculosis isolates in the remaining SITs, reflecting the large ethnic mix of the São Paulo city inhabitants. The results also indicated that in this city, M. tuberculosis isolates acquired drug resistance independently of genotype and that resistance was more dependent on the selective pressure of treatment failure and the environmental circumstances of patients. © 2011 Leite et al; licensee BioMed Central Ltd.

Shear bond strength of resin cement bonded to alumina ceramic after treatment by aluminum oxide sandblasting or silica coating

Purpose: To evaluate the shear bond strength and bond durability between a dual-cured resin cement (RC) and a high alumina ceramic (In-Ceram Alumina), subjected to two surface treatments. Materials and Methods: Forty disc-shaped specimens (sp) (4-mm diameter, 5-mm thick) were fabricated from In-Ceram Alumina and divided into two groups (n = 20) in accordance with surface treatment: (1) sandblasting by aluminum oxide particles (50 μm Al 2O 3) (SB) and (2) silica coating (30 μm SiO x) using the CoJet system (SC). After the 40 sp were bonded to the dual-cured RC, they were stored in distilled water at 37°C for 24 hours. After this period, the sp from each group were divided into two conditions of storage (n = 10): (a) 24 h-shear bond test 24 hours after cementation; (b) Aging-thermocycling (TC) (12,000 times, 5 to 55°C) and water storage (150 days). The shear test was performed in a universal test machine (1 mm/min). Results: ANOVA and Tukey (5%) tests noted no statistically significant difference in the bond strength values between the two surface treatments (p= 0.7897). The bond strengths (MPa) for both surface treatments reduced significantly after aging (SB-24: 8.2 ± 4.6; SB-Aging: 3.7 ± 2.5; SC-24: 8.6 ± 2.2; SC-Aging: 3.5 ± 3.1). Conclusion: Surface conditioning using airborne particle abrasion with either 50 μm alumina or 30 μm silica particles exhibited similar bond strength values and decreased after long-term TC and water storage for both methods. © 2011 by The American College of Prosthodontists.

Parâmetros físicos pré-eruptivos do magmatismo ácido da província magmática do Paraná: Resultados preliminares

A set of 12 samples of acid rock types Palmas (ATP) and Chapecó (ATC) was used to determine the chemical composition of plagioclase and pyroxene by electron microprobe, with the purpose to get information about the pressure and temperature of crystallization of these rocks. The results show that the pyroxene of ATP rocks (3,2 ± 1,2 kbar, max = 5,1 kbar and 1028 ± 38°C) were formed under pressure conditions higher than those ATC (1,8 ± 0,9 kbar, max = 3,4 kbar and 995 ± 26oC). However, the pressures obtained from plagioclase showed higher pressures for ATC (3.2 ± 1 kbar, max = 6,4 kbar and 1033 ± 12°C) than ATP (1,9 ± 1 kbar, max = 4,8 kbar and 1043 ± 5°C), suggesting that the crystallization of rocktype ATP began with the formation of pyroxene and plagioclase almost simultaneously at a depth of around 17 km while the ATC, began with the crystallization of plagioclase at a depth of about 21 km (assuming a gradient of 3,3 kbar/km). The geothermometry of plagioclase allow us to calculate the concentration of water from about 1 ± 0,3% H2O for both acid rock types. Additional calculations allow us to get the depth of water exsolution of magmatic liquid at 30m below the surface. Although the data are still preliminary and insufficient to model the extrusion of these rocks, they point out to an effusion mechanism of a partially fluidized magma by volatile, which would spread to large areas with small friction with the surface that would increased with the increase of viscosity caused by the loss of volatile and decreasing of temperature, developing coherent structures as lava flows.

Estudo geofísico de vazamento de combustíveis em posto de abastecimento

The geoelectrical methods have been widely used in research involving the evaluation and monitoring of areas with environmental risk. This paper presents the results of applying the Electrical Resistivity method by electrical profiling technique to investigate the fuel presence in soil and groundwater proceeding in station gas, located in an urban area Caçapava do Sul (RS), on soil in situ, from modification of Caçapava granite. The results suggest an association between low resistivity anomalies zone with potentially degraded from underground tanks worthless on the form of free phase, now represented as residual phase. The results of the model inversion are consistent with the standards expected for hydrocarbons present in the saturated zone. The electrical resistivity method proved to be an important tool for assessment and environmental monitoring in conjunction with direct methods of investigation.

Mapeamento geoambiental como subsídio na determinação de áreas de instabilidades da faixa de dutos Osvat/Osplan - São Sebastião, SP

Works of linear engineering such as roads, pipelines and transmission lines have specific mapping due to their large scale impact on the environment, thus requiring mapping methods that are both efficient and of low cost. This paper presents a proposal of Geoenvironmental mapping for works linear. The work chosen for the implementation of the method was the Osvat/Osplan pipeline located in the cities of São Sebastião and Caraguatatuba. The geoenvironment mapping was elaborate trough photo-interpretation of images of the ETM+/Landsat-7 sensor and analysis of the drainage network, thus resulting in the partitioning of the geoenvironmental units and the fracture area (structural lineaments and lines of strikes), these maps were subsequently integrated into a product called Map of environmental susceptibility to gravitational and erosive processes, which helped define the areas with potential geotechnical problems that could damage both the pipeline and the environment.

Aplicação da eletrorresistividade na caracterização do meio hidrogeológico na cidade de JI-paraná (RO)

The Ji-Paraná city (RO) it doesn't possess public system of collection and treatment of sewers, being the waters residuárias produced by the local population thrown at sewages. Traditionally, many inhabitants use wells amazon extracted underground water or tubular shallow in the urban zone. The study accomplished in the Nova Brasília neighborhood for Silva (2009) revealed that the local aquifer is strongly contaminated for nitrate, originated of the decomposition of the organic matter deposited at the sewages local maidservants. With the objective of detecting areas with high concentrations originating from organic compositions of septic sewages, geophysical risings were accomplished, later related with analyses physical-chemistries in samples of groundwaters obtained in several wells installed in the Nova Brasília neighborhood, besides of soil samples descriptions in zone not saturated obtained in wells. The results obtained by the geophysical rehearsals they reveal that the polluting feather not migrates through the zone saturated, arriving with relative easiness to the aquifer, reaching in some points, superior depth to 34 m reached by the geoelectrical profiling.

Evolução do rifteamento e paleogeografia da margem Atlântica Equatorial do Brasil: Triássico ao Holoceno

The Equatorial Atlantic Margin evolved from three rift systems recorded by a complex set of sedimentary basins developed since Upper Triassic to the Lower Cretaceous (Albian). The first rift system formed Foz do Amazonas Basin in Upper Triassic; the second phase formed Marajó Basin in Berriasian, a new rift in Foz do Amazonas Basin in Valanginian and Bragança-Viseu, Ilha Nova, São Luís e Barreirinhas basins in Aptian; the third phase formed Barreirinhas and Pará- Maranhão basins and a new rifting in the Foz do Amazonas Basin between the Aptian and Albian and evolved to continental break up. The main paleostress field during rift evolution was NE-SW and after the continental break up took the E-W direction, from the development of transform zones in the oceanic crust. From Miocene, South America was subjected to intraplate tectonics, which resulted in formation of E-W transcurrent faults that generated transtensive and transpressive segments that formed sedimentary basins and hills, resulting in changes in the drainage network. In Quaternary the landscape was modified by the last ice age that changed the sea level; the coastal drainage network was drowning resulting in the formation of the current line coast.

A Pesquisa sobre o ensino de probabilidade e estatística no Brasil: Um exercício de metacompreensão

This article presents an exercise in meta-comprehension of what has been researched on teaching probability and statistics in Brazil. This research was based on the work on this subject presented in the third International Symposium for Research in Mathematics Education (III SIPEM). Articles were selected from the proceedings of the event analyzed hermeneuticly according to the procedures of phenomenology. We observed no evidence of clustering of research on this topic in terms of region or institutions, and we also emphasize that research on the teaching of Probability and Statistics needs to advance toward a theoretical discussion that transcends the subjects being studied and makes broader and deeper links between theory and practice. Findings also indicate that this sub-area of research in mathematics education is in the process of constituting itself.

Pesquisando Práticas e Táticas em Educação Matemática

The present article, which is one study among others, seeks to understand practices and tactics of day-to-day school, spanning and being spanned by three studies in Mathematics education. The diversity of scenes, people and strategies used by actors in everyday school, considered from the theoretical perspectives of Foucault and Deleuze, shed light on the ways Mathematic alphabetization takes place and evidence regarding what is present in the black box of school culture, in a constant problematization about what a school can do. Maps are presented that establish cartographies, revealing smooth and striated territories, on a path created by the research done in those schools, where life is always invented.

Calculadoras, Computadores e Internet em Educação Matemática: dezoito anos de pesquisa

In this paper, we present GPIMEM, a group that has been developing research in Mathematics Education related to computers and other media since 1993 to understand how mathematical knowledge can be produced with these technological resources, in face-to-face as well as online distance education. Members of the group dialogue with different fields of knowledge such as philosophy, history, psychology, anthropology, sociology, arts and technology, among others, to inform their research. The research addresses various topics relevant to Mathematics Education, including methodological and epistemological aspects of teaching and learning, of mathematical modeling and teacher education, always within a qualitative research perspective. We begin with the historical presentation of the group, revealing its dynamics and organization of work, followed by reflections on qualitative research methodology and description of research conducted over the past five years. Finally, we present a synthesis of the theories developed by the group and expectations for the future.

Pesquisa em Resolução de Problemas: caminhos, avanços e novas perspectivas

We discuss the knowledge that has been constructed regarding Problem Solving in Math Education as a result of research developed by GTERP - Work and Study Group in Problem Solving, UNESP-Rio Claro/SP. The research is guided by the following general questions: How do students construct mathematical knowledge and how do teachers implement the methodology of Math Teaching-Learning-Evaluation through Problem Solving? Historical aspects of Problem Solving are very important in the configuration of the current trends for Problem Solving. One of them is the Methodology of Math Teaching-Learning- Evaluation through Problem Solving, based on clear foundations and an approach of renewal. In addition to that methodology, two aspects have been developed by the group: The conception of Math as a science of pattern and order and Discrete Mathematics. The knowledge constructed and the scientific production of GTERP prove its relevant contribution to intensifying dialogues between research and educational practice, students and teachers, and to increasing the possibilities of that practice particularly in Math work.

A Educação Matemática Focalizando Questões Sociais Maiores

Excessive specialization and the fascinating advances of technology and the sciences, particularly of mathematics, cause a false dichotomy between the sciences and technology and the arts and humanities. The survival of civilization is threatened. Clearly, the fragility of the current social organization allows for the exclusion of the larger part of the population from the benefits of progress. We need to revert this scenario, moving into a civilization without inequity, without uncontrolled consumerism and with respect for social and environmental conditions. In this paper, we discuss these issues and we illustrate with some examples how this can be achieved. We discuss the development of mathematics in Brazil, environmental crimes and its prevention through mathematical education, and a proposal for alternative educational models, using as an example the Waldorf Educational System.

Itinerários do Grupo de Estudo e Pesquisa em Etnomatemática e sua Relação com a Educação Matemática

This paper outlines the formation, dynamics and some of the paths taken by the Research and Study Group on Ethnomathematics and its relationship with the Graduation Program in Mathematics Education, presenting a history of its formation, its knowing, its doing and its way of being together, and presenting an overview of the research carried out by its members. This paper also addresses the relationship between the group itself with themes within ethnomathematics, highlighting that the group is a space for collective education and cooperative self-education, which takes place through exchange of experiences, sharing of knowledge and in debates and discussions, from being in a group, respecting the reciprocity and valuing alterity, key aspects of ethnomathematics education.

História da Matemática em contextos da Educação Matemática: contribuições do GPHM

In this article we tried to show the paths outlined during the past years by the Research Group on History of Mathematics and/or its relations with Mathematics Education (GPHM) at UNESP in Rio Claro - Brazil, as well as the contributions we believe we have made to Mathematics Education. The group's production has focused on issues that address the history of institutions and characters, linked to the history of disciplines, concepts and learning materials. Also, in broader terms of mathematics education, this article presents results from research that supports the understanding of teachers' conceptions about the use of History of Mathematics in the classroom; material on the history of mathematics accessible to the teacher; the presence of the history of mathematics in textbooks; proposed introductions of real numbers; and the subject of Analysis in teacher education and training.