Elementary School students' approaches to solving true-false number sentences. 'Métodos de alumnos de Educación Primaria para la resolución de sentencias numéricas verdaderas y falsas'.

Resumen basado en el de la publicación

Ontological beliefs and their impact on teaching elementary geometry. 'Creencias ontológicas y su impacto en la enseñanza de la geometría elemental'.

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Prospective elementary school teachers' ways of making sense of mathematical problem posing. 'Modos en que futuros profesores de primaria dan sentido a la invención de problemas matemáticos'.

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Prospective Elementary School Teachers' Proportional Reasoning. 'Razonamiento proporcional de futuros maestros de educación primaria'.

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Parents??? conceptions of their homework involvement in elementary school

Resumen tomado de la publicaci??n

The simple view of reading in elementary school : a systematic review

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Social training activities and resources for hearing impaired students in elementary school

This paper provides resources to help hearing impaired students in primary and elementary grades with personal and social competency training.

Mainstreaming, inclusion, and the elementary school age hearing impaired student

This paper presents materials for educators and students, grades K-6, about hearing and hearing impairment that will help prepare them for more successful mainstreaming and inclusion of hearing-impaired children.

An educational curriculum outline for teaching sound and hearing in elementary schools

This paper provides curriculum on noise, ears, hearing and deafness for elementary school children.

Developing materials for teaching early elementary fundamental skills to hearing-impaired children

This paper contains materials for teaching early elementary skills to hearing impaired children.

Comment on ``Piecewise potential vorticity inversion: Elementary tests''

Egger (2008) constructs some idealised experiments to test the usefulness of piecewise potential vorticity inversion (PPVI) in the diagnosis of Rossby wave dynamics and baroclinic development. He concludes that, ``PPVI does not help us to understand the dynamics of linear Rossby waves. It provides local tendencies of the streamfunction which are unrelated to the true ones. The same way, the motion of baroclinic waves in shear flow cannot be understood by using PPVI. Moreover, the effect of boundary temperatures as determined by PPVI is unrelated to the flow evolution.'' He goes further in arguing that we should not consider velocities as ``induced'' by PV anomalies defined by carving up the global domain. However, these conclusions partly reflect the limitations of his idealised experiments and the manner in which the PV components were partitioned from one another.

Sufficiency of Favard's condition for a class of band-dominated operators on the axis

The purpose of this paper is to show that, for a large class of band-dominated operators on $\ell^\infty(Z,U)$, with $U$ being a complex Banach space, the injectivity of all limit operators of $A$ already implies their invertibility and the uniform boundedness of their inverses. The latter property is known to be equivalent to the invertibility at infinity of $A$, which, on the other hand, is often equivalent to the Fredholmness of $A$. As a consequence, for operators $A$ in the Wiener algebra, we can characterize the essential spectrum of $A$ on $\ell^p(Z,U)$, regardless of $p\in[1,\infty]$, as the union of point spectra of its limit operators considered as acting on $\ell^p(Z,U)$.

Condition number estimates for combined potential boundary integral operators in acoustic scattering

We study the classical combined field integral equation formulations for time-harmonic acoustic scattering by a sound soft bounded obstacle, namely the indirect formulation due to Brakhage-Werner/Leis/Panic, and the direct formulation associated with the names of Burton and Miller. We obtain lower and upper bounds on the condition numbers for these formulations, emphasising dependence on the frequency, the geometry of the scatterer, and the coupling parameter. Of independent interest we also obtain upper and lower bounds on the norms of two oscillatory integral operators, namely the classical acoustic single- and double-layer potential operators.