A perspectiva metodológica da resolução de problemas: um estudo sobre enunciados de situações matemáticas na EJA

In this paper we discuss the importance of a methodological perspective of solving problems as a sustaining process of teaching mathematics situated on the perspective of concept formation. Organizing a significant didactic situation for students imposes the need to study the interaction between them and the teacher and between them and their mathematical knowledge, learning environment in which the mere transmission of content gives way to contextualization, to historicizing and handling of topics from intuitive and everyday situations for the student. Thus, we understand mathematics as a fundamental language for the creation of theoretical thinking as a whole. We made use of documental analysis and classroom situations aiming at the use of instructional procedure related to the resolution of problems with the purpose of overcoming some representations about the process of teaching and learning mathematics which is strongly marked by imitative-repetitive algorithmic procedures. Considering mathematics as an investigation discipline, we point out renewal prospects for the curricula of this discipline, which are concrete in the movement of cultural action of the school itself as the cell generating discussion.

A importância da arte no sistema filosófico de Hegel

What does it mean to say that Hegel is an idealist philosopher? Such determination is appropriate? If appeals Hegel to speculative approach, then how to understand their idealism? These questions guide the role of art in Hegel's philosophical system identifying a philosophy deeply committed and involved in its determination that takes place in the history or thought. If art is the moment of sensible intuition that Hegel considers carefully, then it is possible to conclude that the idealist perspective attributed to Hegel must be taken with reservations or its own idealism needs to be seen beyond all subjective levy.

A escrita de /an/ por pré escolares: pistas acústico-auditivas

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Características da cana-de-açúcar in natura e hidrolisada com cal virgem em diferentes tempos de estocagem

Our objective was to evaluate the chemical composition and in vitro digestibility of dry matter of hydrolyzed sugar cane in different storage times. We conducted the trial in the Forage Sector at UNIFENAS, campus of Alfenas (MG) in 2010. The data were analyzed as completely randomized design in factorial scheme 2 (sugar cane without lime and hydrolyzed with 1.0% of lime, basis of fresh matter) x 6 (six times of storage: 0, 24, 48, 72, 96 and 120 hours), with three replicates. The sugar cane stored without lime showed lower dry matter (DM), crude protein, neutral detergent fiber and acid detergent fiber contents compared to hydrolyzed sugar cane. However, the hydrolyzed sugar cane showed higher contents of organic matter (OM) and total digestible nutrients. We reported higher in vitro digestibility of DM and OM when the sugar cane was not hydrolyzed. This can be explaining by better chemical composition of sugar cane without lime. The storage of sugar cane without lime shows results more interesting because the chemical composition and digestibility is better than hydrolyzed sugar cane. So, we not recommended using lime on the sugar cane. Moreover, the sugar cane without lime can be stored until 96 hours after cut.

Doses, fontes e épocas de aplicação de nitrogênio em arroz de terras altas cultivado em sistema de semeadura direta

The crop demand by nitrogen varies from one crop to other as well as the amount and application time, and this nutrient can be lost by leaching, volatilization and erosion. The objective of this study was to evaluate doses, sources and times of nitrogen application in rice of high lands cropped in no till system. The work was conducted in Selviria, State of Mato Grosso do Sul, Brazil, in a soil originally under Cerrado vegetation. A randomized blocks design, with the treatments disposed in a factorial scheme 5x3x2 was used. The treatments were constituted by five nitrogen doses (0, 50, 100, 150 and 200 kg ha(-1)), three nitrogen sources (urea; ammonium sulfonitrate plus nitrification inhitor and ammonium sulfate) and two application times (at sowing or at flower bud differentiation), with four repetitions. The sources of nitrogen, as well as the application times had similar effects for most of evaluations. The N doses influenced linearly or with quadratic adjustment the plant height, N leaf content and grains yield, in the two growing seasons. The chlorophyll content and the number of ears m(-2) were affected only, in the first year. The highest yield in the growing season of 2007/08 was obtained with the dose of 149 kg ha(-1) of N. In 2008/09 growing season the increase of N doses provided increment in the grains rice yield, until the maximum dose evaluated (200 kg ha(-1) of N).

Dependência espacial da estabilidade de agregados e matéria orgânica do solo em cambissolo sob cultivo de cana de açucar

The soil management system can modify the natural distribution of the soil attributes and, consequently, the variability of the soil aggregation and organic matter content. Thus, the aim of this work was to evaluate the aggregate stability and organic matter content spatial distribution on a Haplic Cambisol under sugar cane cultivation in the Southern Amazonas State, Brazil. A 70 x 70 m square mesh, with regular 10 meters intervals, was designed over the cultivation area, resulting in 64 sample points. Soil blocks with preserved structure were collected at 0.0-0.2 m depth in order to analyze the aggregate stability and organic matter content. The data were submitted to the descriptive and geostatistical analysis. The soil attributes presented a spatial dependence structure and the greater range was observed for the mean weighted diameter and aggregate class <1.00 mm. Also, there is a spatial relation among the mean geometric diameter, mean weighted diameter and aggregate classes (>2.00 and 2.00-1.00 mm).

Adubação nitrogenada no feijoeiro após palhada de milho e braquiária no plantio direto

The present study was carried out to evaluate the agronomic and technological performance of common-bean crop following three straw mulch production system (sole corn, corn-Urochloa ruziziensis inter-crop and sole U. ruziziensis) and topdressing nitrogen fertilization (0, 40, 80, 120 and 160 kg ha(-1) of N) in the fourth year after the no-tillage system implementation. A randomized block design, in a splitplot array, with three replications was used. The use of U. ruziziensis intercropped with maize allowed a greater straw mulch formation and a more adequate coverage of the soil surface aiming the beans cultivation in succession. The nitrogen fertilization influenced the common-bean productivity in succession to U. ruziziensis unique and maize intercropped with U. ruziziensis. The common-bean crop in succession to the straw mulch production system with U. ruziziensis allowed higher grain production and sieve yield. The grain cooking time decreased due to the rates of N used in the dry bean crop in succession of maize exclusive.

Repelência e deterrência alimentar de vaquinhas por óleos de nim e cinamomo aplicados em folhas de feijoeiro

This work aimed to evaluate the repellent and deterrent effect of the application of concentrations of neem and chinaberry oil on bean leaves on the leaf beetles Diabrotica speciosa (Germar) and Cerotoma arcuata (Olivier). The concentrations of neem oil tested were 0.625, 1.25, 2.50, 5.00, 10.00 and 20,00 mL, corresponding respectively to 1, 2, 4, 8, 17 and 33 ppm of azadirachtin A and the concentrations of chinaberry oil used were the same used to neem oil, corresponding, however, to 1.875, 3.75, 7.50, 15.00, 30.00 and 60.00 mg mL(-1) of chinaberry extract, respectively. For the free-choice tests, glass containers were used as arenas, whereas for the no-choice tests Petri dishes were used, where in both one insect per treatment was released in the center. Attractiveness was evaluated in predetermined time periods, in addition to the leaf consumption, at the end of the experiment. Neem oil is repellent to D. speciosa and C. arcuata, with more efficient results at the 5.00, 10.00 and 20.00 mL concentrations. All concentrations of neem oil reduce leaf consumption of both insects, except in the no-choice test with D. speciosa, in which only the 10.00 and 20.00 mL concentrations are deterrent. Chinaberry oil provides high repellent activity on both leaf beetle species, and the 10.00 and 20.00 mL concentrations stood out. The 10.00 and 20.00 mL concentrations of chinaberry oil are deterrent to D. speciosa and C. arcuata.

Degradação de palhada e liberação de nitrogênio por plantas de cobertura sob plantio direto

Crops used to cover the ground may also release nitrogen into the soil during mineralization. However, it is necessary to identify species that combine fast nutrient release and longer permanence of the straw on the soil surface. The aim of this study was to investigate straw degradation and nitrogen release from cover crops under no-tillage cropping systems. The field trial was performed during two growing seasons in summer (2008/2009 and 2009/2010) in the Cerrado region of Brazil. The experimental design was a randomized block in factorial arrangement. Treatments were the combination of five plants (four cover crops species, 1 - Panicum maximum, 2- Brachiaria ruziziensis, 3. Brachiaria brizantha and 4. Pennisetum glaucum [millet], and fallow as a control) with six sampling times (first six weeks after application of glyphosate on the cover crops). Pennisetum glaucum and fallow showed faster straw degradation and nitrogen release. The cover crops Panicum maximum, Brachiaria brizantha and Brachiaria ruziziensis stood out in biomass production and in the amount of nitrogen in their shoots but had the lowest coefficients of degradation and persisted longer on the soil surface than Pennisetum glaucum and fallow.

Produção de leite, duração da lactação e intervalo de partos em búfalas mestiças Murrah

This study aimed to evaluate the potential for milk production (MP), lactation length (LL) and calving interval (CI), analyze the environmental component affecting these traits, and to estimate the heritability and repeatability for milk production in crossbreds of Murrah buffalo cows in the state of Alagoas, Brazil. Data was composed of 487 observations of MP from 136 lactations recorded between the years of 2000 and 2010. In the analysis of variance for PL, the fixed effects were season (1- October to March, 2 -April to September) and year of the beginning of lactation, calving order and the LL (covariate). For the analysis of LL only the fixed effect of year of the beginning of lactation was included, and finally for the CI analysis, year of the beginning of lactation and calving order. The estimates of covariance were obtained using unicharacteristic analysis by Bayesian inference method, applyingan animal model, through Gibbs sampling. The additive genetic, permanent environment and residual effects were included as random effects in the model. The averages (sd) of MP, LL and CI were 2,218.03 kg (408.18), 282.59 days (39.48) e 422.49 days (91.05), respectively. All the effects included in the models were important (P<0.01). The estimates of heritability and repeatability for PL were 0.29 and 0.69, respectively. The results suggest that there is a moderate genetic variability among individuals for PL, indicating the possibility to obtain gain using selection.

Fosfato de Arad, NPK e calagem na cultura do milho em área de pastagem degradada

The establishment of pastures in Amazonia is made to replace the woody vegetation by slash and burn process in chemically poor and low available phosphorus soils. The recovery of degraded areas is required and can contribute to reducing deforestation in the region. This study aimed to evaluate the effects of doses of Arad and NPK combinations in the management of maize in soil with low productive capacity. The experiment was conducted in Santo Antonio do Taua, Para State, in an area with degraded pasture, in a dystrophic Oxisol. The experimental design was a randomized block split plot design with four replications. The plots were four phosphate: 50, 100, 200 and 300 kg ha(-1) of P2O5 as Arad and sub-plots combination with NPK, NK, NK liming, and control (no match ). We evaluated the growth characteristics and productivity of corn. Doses of Arad influenced the plant height and number of kernels per row cob. The application of Arad combined with NPK increased grain yield.

Crescimento, composição mineral e sintomas visuais de deficiência nutricional em ipeca

The objective was to evaluate the effect of the omission of macronutrient and micronutrient boron in dry matter production, the characterization of the symptoms of nutritional deficiencies and mineral composition in plants of ipeca, an experiment was conducted in greenhouse conditions by the technique the missing element and visual diagnosis. A randomized block experimental design with four repetitions and the treatments were: complete and omissions of N, P, K, Ca, Mg, S and B. The analytical results demonstrated that the production of dry matter was affected in all of the treatments with omission of nutrients and that the ipeca plants presented characteristic symptoms of nutritional deficiencies due to the omissions of N, P, K, Ca, Mg, S and B and the concentrations of the macronutrients and of the micronutrient boron in the different parts of the ipeca plant varied when a certain nutrient was omitted in the solution.

The USAID and the teaching of mathematics in Rio Grande do Norte

In the 1960s occurred great changes in the general education and, specially in the mathematical teaching, throughout Brazil. Besides the Law Diretrizes e Bases for Education (law 4024/1961), such changes also was occurred by opposite educational movements. In one side, those ones that valorized the popular education and culture and, for the other side, the international agreements between universities and government organs, like SUDENE and MEC, with United States Agency for International Development (USAID). These agreements purposed the cultural alignment. In this article we will expose some of these agreements and their interference in two courses for teachers' education. These teachers taught mathematics for the elementary school, in Rio Grande do Norte.

Trends in Brazilian academic production in the History of Mathematics Education: directions from EBRAPEM

The number of papers on History of Mathematics Education presented at EBRAPEM (Brazilian Meeting of Graduate Students in Mathematics Education) has increased significantly between 2003 and 2008. This article presents a study with the aim of identifying themes, periods in focus, and sources and theoretical and methodological references used by the authors of the papers on History of Mathematics Education published in the proceedings of VII, VIII, IX, X, XI and XII EBRAPEM. The study indicates that the approach of ongoing research in History of Mathematics Education in Brazil has been similar to the approach of research in History of Education in general. However, the institutional separation between these two areas of investigation is noted as a factor rendering communication between both groups of researchers difficult.