José González

GRAPHS r-POLAR SPHERICAL REALIZATIONP

The graph to considered will be in general simple and fi nite, graphs with a nonempty set of edges. For a graph G, V(G) denote the set of vertices and E(G) denote the set of edges. Now, let P r = (0 , 0 , 0 , r ) ∈ R 4 , r ∈ R + . The r − polar sphere, denoted by S P r , is de fi ned by

Una didáctica del saber: un camino hacia la optimización de las transposiciones didácticas.

Resumen es: Preocupados por la educacion de calidad, y dentro del marco de la Teoria de las Situaciones Didacticas (Brousseau, 2004), y particularmente en la aproxim...Worried about the quality of education and within the framework of the Theory of Didactical Situations in Mathematics (Brousseau, 1998), and particularly in the anthropological approach proposed by Yves Chevallard (1991), this paper presents a tool that, in its first place, aims at optimizing the process of didactic transpositions, through the definition of a distance between the knowing how to teach and the knowledge learned (Mabille & Albert, 1994), by proposing the knowledge to be a multidimensional being and each one of these dimensions to be independent from each other. On the other hand, the definition of distance is structured according to a stochastic conception, using the logistic function to model the probability of emitting a correct answer to stimulus acting on the knowledge learned.

Sociodemographic and Academic Variables Explaining Student`s Dropout in the Faculty of Natural Sciences of the University of Playa Ancha (Chile)

espanolEste articulo presenta un analisis explicativo, tomando como efecto la desercion universitaria y como causas un conjunto de variables predictoras. El estudio se focalizo en los estudiantes de la Universidad de Playa Ancha, en Chile. El estudio propone como objetivo la identificacion de los factores que influyen de manera significativa en el proceso de desercion de los estudiantes de la Universidad de Playa Ancha y, cuantificar el efecto individual de cada predictor en la respuesta de un modelo estadistico. Basado en la dicotomia de la variable dependiente, se utilizo un modelo logistico con funcion de enlace binomial. El proceso de ajuste del modelo se desarrollo en dos etapas. Primero se estimaron los efectos individuales de cada variable predictora, seleccionando de entre ellas las significativas. En segundo lugar, se descartaron aquellas con efectos no significativos propendiendo un modelo parsimonioso. SE concluye que las variables que afectan directamente a la desercion son los predictores de primer orden, Ramos Aprobados (RA), Orden de Lista (OL), Estado Civil (EC) y Educacion del Padre (EP). EnglishThis article presents an explanatory analysis, taking as an effect the university dropout and as causes a set of predictor variables. The study focused on students of the University of Playa Ancha in Chile. The objective of the study was the identification of the factors that significantly influence the desertion process of the students of the Playa Ancha University and quantify the individual effect of each predictor. Based on the dichotomy of the dependent variable, a logistic model with a binomial link function was used. The process of adjustment of the model was developed in two stages. First, the individual effects of each predictor variable were estimated, selecting among them the significant ones. Secondly, those having non-significant effects were discarded, following a parsimonious model. It is concluded that the variables that directly affect the dropout are the predictors of first order, Approved Branches (RA), List Order (OL), Civil Status (EC) and Parent Education (EP)

Didactics on Knowledge: a Road to the Optimization of Didactic Transpositions

Resumen es: Preocupados por la educacion de calidad, y dentro del marco de la Teoria de las Situaciones Didacticas (Brousseau, 2004), y particularmente en la aproxim...Worried about the quality of education and within the framework of the Theory of Didactical Situations in Mathematics (Brousseau, 1998), and particularly in the anthropological approach proposed by Yves Chevallard (1991), this paper presents a tool that, in its first place, aims at optimizing the process of didactic transpositions, through the definition of a distance between the knowing how to teach and the knowledge learned (Mabille & Albert, 1994), by proposing the knowledge to be a multidimensional being and each one of these dimensions to be independent from each other. On the other hand, the definition of distance is structured according to a stochastic conception, using the logistic function to model the probability of emitting a correct answer to stimulus acting on the knowledge learned.

Uma didática do saber: um caminho à optimização das transposições didáticas

Resumen es: Preocupados por la educacion de calidad, y dentro del marco de la Teoria de las Situaciones Didacticas (Brousseau, 2004), y particularmente en la aproxim...Worried about the quality of education and within the framework of the Theory of Didactical Situations in Mathematics (Brousseau, 1998), and particularly in the anthropological approach proposed by Yves Chevallard (1991), this paper presents a tool that, in its first place, aims at optimizing the process of didactic transpositions, through the definition of a distance between the knowing how to teach and the knowledge learned (Mabille & Albert, 1994), by proposing the knowledge to be a multidimensional being and each one of these dimensions to be independent from each other. On the other hand, the definition of distance is structured according to a stochastic conception, using the logistic function to model the probability of emitting a correct answer to stimulus acting on the knowledge learned.