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Listening comprehension and strategy use: a longitudinal exploration
This paper examines the development of strategy use over 6 months in two lower-intermediate learners of L2 French in secondary schools in England. These learners were selected from a larger sample on the basis of their scores on a recall protocol completed after listening to short passages at two time points: one was consistently a high scorer; the other one, a low scorer. Qualitative data on these two learners’ strategic behaviour were gathered at the two time points from verbal reports made by learners while they were completing a multiple-choice listening task. Our results show a high degree of stability of strategy use over the time period, with pre-existing differences between the high and low scorer persisting. The theoretical and pedagogical implications of these findings are discussed
Integral representations for a generalized Hermite linear functional
In this paper we find new integral representations for the {\it generalized
Hermite linear functional} in the real line and the complex plane. As
application, new integral representations for the Euler Gamma function are
given.Comment: 4 figure
Hamilton-Jacobi Approach for Power-Law Potentials
The classical and relativistic Hamilton-Jacobi approach is applied to the
one-dimensional homogeneous potential, , where and
are continuously varying parameters. In the non-relativistic case, the
exact analytical solution is determined in terms of , and the total
energy . It is also shown that the non-linear equation of motion can be
linearized by constructing a hypergeometric differential equation for the
inverse problem . A variable transformation reducing the general problem
to that one of a particle subjected to a linear force is also established. For
any value of , it leads to a simple harmonic oscillator if , an
"anti-oscillator" if , or a free particle if E=0. However, such a
reduction is not possible in the relativistic case. For a bounded relativistic
motion, the first order correction to the period is determined for any value of
. For , it is found that the correction is just twice that one
deduced for the simple harmonic oscillator (), and does not depend on the
specific value of .Comment: 12 pages, Late
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