The prospective kindergarten and elementary school teachers’ understanding of the ratio concept

Este artigo centra-se na compreensão que futuros educadores e professores dos primeiros anos de escolaridade evidenciam do conceito de razão. No estudo participaram 81 estudantes do 2º ano da Licenciatura em Educação Básica, de uma universidade portuguesa, aos quais foi aplicado um questionário, incidindo em quatro dimensões: significado de razão; usos do conceito de razão; representação simbólica de razão; e representações para explicação do conceito de razão. Em termos de resultados, as maiores frequências foram obtidas para a: ideia de razão como comparação/relação entre grandezas; crença em que o conceito de razão pode ser usado em contextos diversificados; crença em que pode ser representado através de operações envolvendo letras, números ou apenas os sinais das operações, quando é pedida a sua representação simbólica, e através de diagramas e representações gráficas, quando é solicitada a descrição da sua explicação. Estes resultados revelam fragilidades no conhecimento matemático dos estudantes, sobretudo no que se refere à definição do conceito de razão e às suas representações.This paper focuses on the prospective kindergarten and elementary school teachers’ understanding of the ratio concept. Eighty-one undergraduates preparing to become kindergarten and primary school teachers, in a Portuguese university, participated in the study. They answered to a questionnaire aiming at evaluating their understanding of the ratio concept based on four dimensions: meaning of ratio; use of the ratio concept; symbolic representations of ratio; and representations for explaining the ratio concept. As far as results are concerned, the highest frequencies were obtained for: the idea of ratio as a comparison/relationship between two magnitudes; the belief that this concept is used in several contexts; the belief that it can be represented through operations with letters, figures or operation signals, as in symbolic representations; and through diagrams and graphical representations, as in representations for explaining the ratio concept. The results show weaknesses in prospective teachers’ mathematical knowledge of ratio, namely with regard to its definition and representations.Este trabalho contou com o apoio de Fundos Nacionais através da FCT – Fundação para a Ciência e a Tecnologia no âmbito do projecto PEst-OE/CED/UI1661/2014 do CIEd-UM.info:eu-repo/semantics/publishedVersio

In vivo assembly and trafficking of olfactory Ionotropic Receptors.

Ionotropic receptors (IRs) are a large, divergent subfamily of ionotropic glutamate receptors (iGluRs) that are expressed in diverse peripheral sensory neurons and function in olfaction, taste, hygrosensation and thermosensation. Analogous to the cell biological properties of their synaptic iGluR ancestors, IRs are thought to form heteromeric complexes that localise to the ciliated dendrites of sensory neurons. IR complexes are composed of selectively expressed 'tuning' receptors and one of two broadly expressed co-receptors (IR8a or IR25a). While the extracellular ligand-binding domain (LBD) of tuning IRs is likely to define the stimulus specificity of the complex, the role of this domain in co-receptors is unclear. We identify a sequence in the co-receptor LBD, the 'co-receptor extra loop' (CREL), which is conserved across IR8a and IR25a orthologues but not present in either tuning IRs or iGluRs. The CREL contains a single predicted N-glycosylation site, which we show bears a sugar modification in recombinantly expressed IR8a. Using the Drosophila olfactory system as an in vivo model, we find that a transgenically encoded IR8a mutant in which the CREL cannot be N-glycosylated is impaired in localisation to cilia in some, though not all, populations of sensory neurons expressing different tuning IRs. This defect can be complemented by the presence of endogenous wild-type IR8a, indicating that IR complexes contain at least two IR8a subunits and that this post-translational modification is dispensable for protein folding or complex assembly. Analysis of the subcellular distribution of the mutant protein suggests that its absence from sensory cilia is due to a failure in exit from the endoplasmic reticulum. Protein modelling and in vivo analysis of tuning IR and co-receptor subunit interactions by a fluorescent protein fragment complementation assay reveal that the CREL N-glycosylation site is likely to be located on the external face of a heterotetrameric IR complex. Our data reveal an important role for the IR co-receptor LBD in control of intracellular transport, provide novel insights into the stoichiometry and assembly of IR complexes and uncover an unexpected heterogeneity in the trafficking regulation of this sensory receptor family

Open labware: 3-D printing your own lab equipment

The introduction of affordable, consumer-oriented 3-D printers is a milestone in the current “maker movement,” which has been heralded as the next industrial revolution. Combined with free and open sharing of detailed design blueprints and accessible development tools, rapid prototypes of complex products can now be assembled in one’s own garage—a game-changer reminiscent of the early days of personal computing. At the same time, 3-D printing has also allowed the scientific and engineering community to build the “little things” that help a lab get up and running much faster and easier than ever before

Effect of resource spatial correlation and Hunter-Fisher-Gatherer mobility on social cooperation in Tierra del Fuego

This article presents an agent-based model designed to explore the development of cooperation in hunter-fisher-gatherer societies that face a dilemma of sharing an unpredictable resource that is randomly distributed in space. The model is a stylised abstraction of the Yamana society, which inhabited the channels and islands of the southernmost part of Tierra del Fuego (Argentina-Chile). According to ethnographic sources, the Yamana developed cooperative behaviour supported by an indirect reciprocity mechanism: whenever someone found an extraordinary confluence of resources, such as a beached whale, they would use smoke signals to announce their find, bringing people together to share food and exchange different types of social capital. The model provides insight on how the spatial concentration of beachings and agents’ movements in the space can influence cooperation. We conclude that the emergence of informal and dynamic communities that operate as a vigilance network preserves cooperation and makes defection very costly.MICINN http://www.idi.mineco.gob.es/ CSD2010-00034 (SimulPast CONSOLIDER-INGENIO 2010) and HAR2009-06996; the government of Castilla y Leónhttp://www.jcyl.es/ GREX251-2009; the Argentine CONICET http://www.conicet.gov.ar/PIP-0706; and the Wenner-Gren Foundation for Anthropological Researchhttp://www.wennergren.org/ "Social Aggregation: A Yamana Society's Short Term Episode to Analyse Social Interaction, Tierra del Fuego, Argentina". The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscrip