Elaboració i experimentació d'alguns dels instruments per bastir un dispositiu pedagógic d'avaluació formadora dels alumnes, a l'área de matemátiques de l'ensenyament secundari obligatori. 'Elaboración y experimentación de algunos de los instrumentos para poner en marcha un dispositivo pedagógico de evaluación formadora de los alumnos, en el área de matemáticas en la enseñanza secundaria obligatoria'.

Conjunto de instrumentos para la enseñanza de matemáticas en la ESO, elaborados y experimentados previamente y que pueden servir como elemento de evaluación. Se han experimentado en la Escuela Joan de la Cierva y la Escuela J.M. Zafra. Presenta los test de evaluación. Otro objetivo es crear unos pequeños dossieres documentales que ponen al alcance del profesor algunas investigaciones e innovaciones educativas especialmente en el área de matemáticas. Contienen un nucleo de artículos y libros seleccionados y algunos comentados y una bibliografía complementaria.

El pas de l'etapa d'educaci?? prim??ria a educaci?? secund??ria

Resumen basado en el de la publicaci??n

Mapping the Wigner distribution function of the Morse oscillator onto a semiclassical distribution function

The mapping of the Wigner distribution function (WDF) for a given bound state onto a semiclassical distribution function (SDF) satisfying the Liouville equation introduced previously by us is applied to the ground state of the Morse oscillator. The purpose of the present work is to obtain values of the potential parameters represented by the number of levels in the case of the Morse oscillator, for which the SDF becomes a faithful approximation of the corresponding WDF. We find that for a Morse oscillator with one level only, the agreement between the WDF and the mapped SDF is very poor but for a Morse oscillator of ten levels it becomes satisfactory. We also discuss the limit h --> 0 for fixed potential parameters.

Quasicausal expansion of the quantum Liouville propagator

The quasicausal expansion of the quantum Liouville propagator is introduced into the Weyl-Wigner picture. The zeroth-order term is shown to lead to the statistical quasiclassical method of Lee and Scully [J. Chem. Phys. 73, 2238 (1980)].

CLASSICAL DISTRIBUTION-FUNCTIONS DERIVED FROM WIGNER DISTRIBUTION-FUNCTIONS

A mapping which relates the Wigner phase-space distribution function associated with a given stationary quantum-mechanical wavefunction to a specific solution of the time-independent Liouville transport equation is obtained. Two examples are studied.

UNITARY POLE APPROXIMATION FOR THE COULOMB-PLUS-YAMAGUCHI POTENTIAL AND APPLICATION TO A 3-BODY BOUND-STATE CALCULATION

The unitary pole approximation is used to construct a separable representation for a potential U which consists of a Coulomb repulsion plus an attractive potential of the Yamaguchi type. The exact bound-state wave function is employed. U is chosen as the potential which binds the proton in the 1d5/2 single-particle orbit in F-17. Using the separable representation derived for U, and assuming a separable Yamaguchi potential to describe the 1d5/2 neutron in O-17, the energies and wave functions of the ground state (1+) and the lowest 0+ state of F-18 are calculated in the Gore-plus-two-nucleons model solving the Faddeev equations.