Uma proposta alternativa para o ensino progressões relacionadas a funções

Generally, arithmetic and geometric progressions are taught separately from ane and exponential functions, only by the use of memorized formulas and without any concern of showing students how these contents are related. This paper aims at presenting a way of teaching such contents in an integrated way, starting with the definition of ane and exponential functions relating them to situations from the daily life of the students. Then, characteristics and graphics of those functions are presented and, subsequently, arithmetic and geometric progression are shown as a restriction of the ane and exponential functions. Thus, the study of the progressions is introduced based on the functions mentioned above using situations from students daily lives as examples

O estudo das funções quadráticas e sua relação com o cotidiano

Across the centuries, Mathematics - exact science as it is - has become a determining role in the life of man, which forms to use suprir needs of their daily lives. With this trajectory, is characterized the importance of science as an instrument of recovery not only conteudstica, but also a mathematician to know that leads the apprentice to be a dynamic process of learning ecient, able to find solutions to their real problems. However, it is necessary to understand that mathematical knowledge today requires a new view of those who deal directly with the teaching-learning process, as it is for them - Teachers of Mathematics - desmistificarem the version that mathematics, worked in the classroom, causes difficulties for the understanding of students. On this view, we tried to find this work a methodology that helps students better understand the Quadratic functions and its applications in daily life. Making use of knowledge Ethnomathematics, contextualizing the problems relating to the content and at the same time handling the software GeoGebra, aiming a better view of the behavior of graphs of functions cited

Cytogenetic characterization of Brycon amazonicus (Spix et Agassiz, 1829) (Teleostei: Characidae) from Caicara del Orinoco, Venezuela

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Efeitos de um programa de atividade física nas funções cognitivas, equilíbrio e risco de quedas em idosos com demência de Alzheimer

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Feeding of Oligosarcus hepsetus (Cuvier, 1829) (Characiformes) in the Serra do Mar State Park - Santa Virgínia Unit, São Paulo, Brazil

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

Relação peso-comprimento e fator de condição de Oligosarcus hepsetus (Cuvier, 1829) no Parque Estadual da Serra do Mar - Núcleo Santa Virgínia, Mata Atlântica, estado de São Paulo, Brasil

Foram analisados a relação peso-comprimento e o fator de condição de Oligosarcus hepsetus no Rio Grande do Parque Estadual da Serra do Mar - Núcleo Santa Virgínia, São Paulo. A relação peso-comprimento foi estimada para imaturos, fêmeas e machos, através da expressão P = aCb. Os parâmetros a e b foram estimados após transformação logarítmica dos dados de peso e comprimento e subsequente ajuste de uma linha reta aos pontos pelo método dos mínimos quadrados. Para fêmeas e machos foram obtidas as equações da relação peso-comprimento por período do ano (outono, inverno, primavera e verão), utilizando o peso total e o peso sem as gônadas. O fator de condição dos imaturos foi mais alto do que para machos e fêmeas, possivelmente, devido ao gasto energético com o desenvolvimento dos ovócitos e em menor grau dos espermatozóides. Esta espécie apresentou maiores valores de fator de condição no outono devido ao acúmulo de gordura e nas demais estações estes valores diminuíram devido ao longo período reprodutivo. As condições ambientais da Mata Atlântica parecem ser primordiais para o desenvolvimento das estratégias reprodutivas apresentadas por Oligosarcus hepsetus.

Crescimento e mortalidade de Oligosarcus hepsetus (Cuvier, 1829) (Characiformes, Characidae) no Parque Estadual da Serra do Mar, Núcleo Santa Virgínia, São Paulo, Brasil

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

Reproduction of Oligosarcus hepsetus (Cuvier, 1829) (Characiforms) in the Serra do Mar State Park, São Paulo, Brazil

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

O eletrólito suporte e suas múltiplas funções em processos de eletrodo

The aim of this work is to present the principal properties and applications of supporting electrolytes (SE) to students, teachers and researchers interested in electrode processes. Different aspects are discussed including the importance of SE in maintaining constant the activity coefficients and the diffusion coefficients and reducing the transport number of electroactive species. Its effect on the electrochemical kinetic parameters is also presented.

Age, growth and yield per recruit analysis of the pintado Pseudoplatystoma corruscans (Agassiz, 1829) in the Cuiabá River basin, Pantanal Matogrossense, Brazil

A idade e o crescimento do pintado Pseudoplatystoma corruscans foram estudados durante o período de maio de 1994 a maio de 1995. O comprimento-padrão variou de 52 a 145 cm e o peso total, de 1,3 a 41 kg. As relações biométricas entre comprimento-padrão (Ls) e comprimento total (Ltotal) e entre peso total (Wt) e comprimento-padrão (Ls) foram obtidas, sendo, respectivamente: Ltotal = 3,296 + 1,069 * Ls e Wt = 0,00624 * Ls3,134. O fator de condição, calculado mensalmente, sugere que a desova ocorreu entre os meses de fevereiro e março. A idade foi estimada pela contagem de anéis de crescimento presentes nos raios modificados (esporão) das nadadeiras peitorais, detectando 10 classes etárias. A distância média do último anel até a borda do esporão sugere que o período de menor crescimento ocorreu entre julho e setembro (seca). A equação de von Bertalaffy que descreve o crescimento do pintado é: Lt = 183 * [1 - exp - 0,085 * (t + 3,274)]. A mortalidade total obtida foi Z = 0,24 ano-1 e a mortalidade natural M = 0,20 ano-1. Com o presente nível de explotação, F = Z - M = 0,04 ano-1, conclui-se que o estoque do pintado ainda não estava sobrexplotado na bacia do rio Cuiabá, Pantanal Matogrossense, na época em que foi realizado o estudo.

Morphological deformities in the osseous structure in spotted sorubim Pseudoplatystoma coruscans (agassiz & spix, 1829) with vitamin c deficiency

A vitamina C é essencial para dietas de peixe porque muitas espécies não conseguem sintetizá-la. Esta vitamina é necessária par a formação de cartilagem e matriz óssea. Além disso, age como antioxidante e melhora as resposta do sistema imunológico. O presente trabalho investigou os efeitos da suplementação de vitamina C em dietas para alevinos de pintado (Pseudoplatystoma corruscans) pela incidência de deformidades na estrutura óssea e cartilaginosa. O ascorbil polifosfato (AP) foi utilizado como fonte de vitamina C em dietas para alevinos de pintado durante o período de três meses. Seis dietas foram formuladas: uma dieta controle (0 mg de vitamina C / kg) e cinco dietas 500, 1.000, 1.500, 2.000 e 2.500 mg de AP / kg. Os peixes alimentados sem suplementação de vitamina C apresentaram deformidades óssea na cabeça e mandíbula e fragilidade de nadadeiras. Assim, a dieta de 500 mg de AP/kg foi suficiente para prevenir a ocorrência de deformidades, e a ausência desta vitamina prejudica o desenvolvimento ósseo de juvenis de pintados.

Evolutionary chromosomal differentiation among four species of Conoderus Eschscholtz, 1829 (Coleoptera, Elateridae, Agrypninae, Conoderini) detected by standard staining, C-banding, silver nitrate impregnation, and CMA(3)/DA/DAPI staining

The speciose Brazilian Elateridae fauna is characterized by high karyotypic diversity, including one species (Chalcolepidius zonatus Eschscholtz, 1829) with the lowest diploid number within any Coleoptera order. Cytogenetic analysis of Conoderus dimidiatus Germar, 1839, C. scalaris (Germar, 1824,) C. ternarius Germar, 1839, and C. stigmosus Germar, 1839 by standard and differential staining was performed with the aim of establishing mechanisms of karyotypic differentiation in these species. Conoderus dimidiatus, C. scalaris, and C. ternarius have diploid numbers of 2n(male) = 17 and 2n(female) = 18, and a X0/XX sex determination system, similar to that encountered in the majority of Conoderini species. The karyotype of C. stigmosus was characterized by a diploid number of 2n=16 and a neoXY/neoXX sex determination system that was highly differentiated from other species of the genus. Some features of the mitotic and meiotic chromosomes suggest an autosome/ancestral X chromosome fusion as the cause of the neoXY system origin in C. stigmosus. C-banding and silver impregnation techniques showed that the four Conoderus species possess similar chromosomal characteristics to those registered in most Polyphaga species, including pericentromeric C band and autosomal NORs. Triple staining techniques including CMA(3)/DA/DAPI also provided useful information for differentiating these Conoderus species. These techniques revealed unique GC-rich heterochromatin associated with NORs in C. scalaris and C. stigmosus and CMA(3)-heteromorphism in C. scalaris and C. ternarius.

Abundância natural do isótopo estável de carbono (13C) de alguns itens alimentares e sua contribuição no crescimento de juvenis de pintado, Pseudoplatystoma corruscans (Agassiz, 1829) (Osteichthyes, Pimelodidae)

The aim of this study is to determine the natural abundance of carbon stable isotope (13C) of some food components and determine its contribution to the pintado juvenile growth, in laboratory conditions. 150 fishes were used with average weight of 1.39 g, and stocked in two net ponds with 125L each, during 60 days. Every 10 days a water sample was collected to analyse phytoplakton and zooplankton. Clacocera was dominant in the analysis of the stomach contents, following Chironomidae and Copepoda. A fish sample was collected in the beginning, and at the end of the experiment to analyses the isotopic signal. An average value of -20.94; -15.36 and -18.81 δ13C%o was obtained for phytoplankton, Cladocera and Chironomidae, respectively. Cladocera was the main carbon source and contribution with carbon average 89.24% in feeding this species, while the Chironomid contribution was 10.76%. The δ13C was effective as carbon tracer in food chain, because the consumer reflects its diet isotopicly.

Bacterial contamination of the catfish (Cathorops agassizii - Valenciennes, 1839 and Genidens genidens - Agassiz, 1829) sting

This work aimed to study the bacterial contamination in stings of the catfish Genidens genidens and Cathorops agassizii found in the São Vicente estuarine system (São Paulo State, Brazil). For bacteriological analyses, we used fish samples distributed into a group of 50 specimens (25 C. agassizii and 25 G. genidens) and a group of 14 specimens (7 C. agassizii and 7 G. genidens). Results showed contamination of 13 different bacterial species of Enterobacteriaceae, being Klebsiella pneumoniae the most frequent bacteria (26.80%) followed by Enterobacter sp and Escherichia coli (16.27%), and Serratia marcescens, Serratia sp. and Proteus mirabilis (1.16%). Gram-positive bacteria as well as fungi were not detected in the samples. According to the Gram-negative species characterized and with regard to the environmental conditions, it can also be considered that accidents with these catfish stings may develop significant acute secondary infections in humans.

Apatia, funções cognitivas e funcionalidade motora em idosos com doença de Alzheimer

The aims of this study were to characterize the presence of apathy in patients with AD, determine the relationship between apathy, motor function and cognitive function, and to verify differences among patients stratified by level of apathy in relation to cognitive and motor abilities. Methods: A cross-sectional study was conducted of 37 patients with AD. The following tests were used: MoCA, the Frontal Assessment Battery, Verbal Fluency, Clock Drawing Test, Andreotti & Okuma Battery Tests, Sit and Reach, Resistance of Upper Limbs - AAHPERD Battery Test, Sit and Lift Chair and the Apathy domain of the Neuropsychiatric Inventory. After verifying the normality of the data distribution, comparisons were made using Student's t-test and the U Mann Whitney test; relationships were also assessed using Pearson's and Spearman's correlation coefficients. All analyses were considered to be statistically significant at a p-value of 0.05. Results: 46% of participants in this study showed mild symptoms of apathy. Significant and weak associations were found (p=0.04) between apathy and the attention domain on the MoCA and between apathy and the Walk Test. Analysis of differences in cognitive and motor functions according to participants' level of apathy revealed no significant differences for any of the variables. Conclusion: Apathy was reflected in attention and the Walk Test, suggesting these variables may be related to cognitive and functional decline in AD patients.