Coordination of aproximations in secondary school students’ understanding of limit concept

The aim of this research is to characterize the coordination of the processes of approximation related to the understanding of the limit of a function. We analyze the answers of 64 post-secondary school students to 7 problems considering the dynamic and metric conception of limit of a function. Results indicate that the metric understanding of the limit in terms of inequality supports that the student is capable of coordinating the approximations in the domain and in the range when lateral approximations coincide. However, the student is not capable of this coordination when lateral approximations do not coincide. This indicates that the metric understanding of the limit begins with the previous construction of the dynamic conception in case of coincidence of the lateral approximations in the range.

An Acyl-NHC Osmium Cooperative System: Coordination of Small Molecules and Heterolytic B–H and O–H Bond Activation

The hexahydride complex OsH6(PiPr3)2 (1) activates the C–OMe bond of 1-(2-methoxy-2-oxoethyl)-3-methylimidazolium chloride (2), in addition to promoting the direct metalation of the imidazolium group, to afford a five-coordinate OsCl(acyl-NHC)(PiPr3)2 (3) compound. The latter coordinates carbon monoxide, oxygen, and molecular hydrogen to give the corresponding carbonyl (4), dioxygen (5), and dihydrogen (6) derivatives. Complex 3 also promotes the heterolytic bond activation of pinacolborane (HBpin), using the acyl oxygen atom as a pendant Lewis base. The hydride ligand and the Bpin substituent of the Fischer-type carbene of the resulting complex 7 activate the O–H bond of alcohols and water. As a consequence, complex 3 is a metal ligand cooperating catalyst for the generation of molecular hydrogen, by means of both the alcoholysis and hydrolysis of pinacolborane, via the intermediates 7 and 6.

Métodos geométricos de coordinación de intersecciones reguladas por semáforos

La coordinación de las intersecciones de un itinerario consiste en programar el encendido de las luces de los semáforos de tal forma que los vehículos puedan atravesar la vía de un extremo a otro, a una velocidad constante y sin detenerse. Para realizar un estudio de coordinación se utilizan sistemas geométricos en los que, con la ayuda de un diagrama espacio-tiempo, se determina el desfase entre el instante de encendido de las luces verdes de los diferentes cruces. Este desfase será función de la velocidad deseada y de la distancia entre intersecciones. El presente trabajo aborda la revisión de los métodos geométricos existentes, y propone mejoras que optimizan su precisión y eficacia adecuándolos a la realidad del tráfico.

Emergence of half-metallicity in suspended NiO chains: Ab initio electronic structure and quantum transport calculations

Contrary to the antiferromagnetic and insulating character of bulk NiO, one-dimensional chains of this material can become half metallic due to the lower coordination of their atoms. Here we present ab initio electronic structure and quantum transport calculations of ideal infinitely long NiO chains and of more realistic short ones suspended between Ni electrodes. While infinite chains are insulating, short suspended chains are half-metallic minority-spin conductors that displays very large magnetoresistance and a spin-valve behavior controlled by a single atom.

Ligand tethering by ion-exchange for the immobilization of homogeneous catalysts

A Rh phosphine complex, derived from the Wilkinson’s catalyst, has been immobilized by ion-exchange on the ammonium form of a Al-MCM-41 sample. Ammonium ions have been exchanged by cholamine ions, which act as an amine ligand, and then the Wilkinson’s catalyst has been immobilized by substitution of a phosphine ligand by the anchored amine. This is a novel immobilization procedure, as a ligand, instead of the whole complex, is tethered to the support by ion exchange. The obtained hybrid catalyst has been characterized by Elemental Analysis, DRIFTS and XPS. The quantitative exchange of ammonium by cholamine and coordination of Rh to amines has been observed. Most of the anchored Rh is considered to be coordinated to the ligand tethered to the support and a small proportion seems to be interacting with the protonated ligand or with the support surface. The catalyst has been tested in the hydrogenation of cyclohexene and in the hydroformylation of 1-octene. In the first case the catalyst is active and reusable, while a strong Rh leaching takes place in the second one.

Different moments in the participatory stage of the secondary students’ abstraction of mathematical conceptions

This study provides support to the characteristics of participatory and anticipatory stages in secondary school pupils’ abstraction of mathematical conceptions. We carried out clinical task-based interviews with 71 secondary-school pupils to obtain evidence of the different constructed mathematical conceptions (Participatory Stage) and how they were used (Anticipatory Stage). We distinguish two moments in the Participatory Stage based on the coordination of information from particular cases by activity-effect reflection which, in some cases, lead to a change of focus enabling secondary-school pupils to achieve a reorganization of their knowledge. We argue that (a) the capacity of perceiving regularities in sets of particular cases is a characteristic of activity-effect reflection in the abstraction of mathematical conceptions in secondary school, and (b) the coordination of information by pupils provides opportunities for changing the attention-focus from the particular results to the structure of properties.

El gobierno económico de la Unión Europea y los principios de justicia del gasto público en una hacienda plural

A partir de 2011 se ha reforzado el gobierno económico de la UE a través de seis instrumentos legislativos, el llamado Six Pack, que supone fundamentalmente una reforma de la supervisión de la política presupuestaria de los Estados miembros. Más recientemente el Tratado de estabilidad, coordinación y gobernanza de UE de marzo de 2012 (TECGUE) establece un conjunto de normas destinadas a promover la disciplina presupuestaria a través de un pacto presupuestario; a reforzar la coordinación de sus políticas económicas; y a mejorar la gobernanza de la zona del euro. En el presente trabajo se analiza si este modelo basado en una estricta disciplina presupuestaria es compatible con los postulados del Estado social, y más concretamente con los principios de justicia del gasto público. En efecto, a partir de la reforma del art. 135 de la Constitución Española, el principio de estabilidad presupuestaria debe ser interpretado coordinadamente con otros principios constitucionales que en el momento presente están plenamente vigentes y pueden adquirir una nueva función: la de actuar como límite y medida del objetivo de estabilidad presupuestaria. Del mismo modo se analizan los principios de coordinación entre las políticas presupuestarias y de endeudamiento de los Estados miembros en un Estado con una pluralidad de Haciendas, como es el caso español.