0000000000082129
AUTHOR
Marta Pla-castells
Analysis of the Relationship Between Context and Solution Plan in Modelling Tasks Involving Estimations
In this chapter we analyse students’ written solution plan of a sequence of modelling tasks involving estimations. Our research objective is to statistically analyse whether there is a relation between the solution plan and the characteristics of the context of the real estimation task. From previous work, we have identified some task variables that are directly related to the context. In this study we have designed a sequence of modelling tasks and we have analysed the productions of N = 224 Spanish pre-service primary school teachers. The results show that there is a relationship between the variables of the task and the solution plan used by the students in each case. From the results of…
Elevation Cable Modeling for Interactive Simulation of Cranes
In this paper, the way to simulate hoisting cables in real time is addressed. We overcome instability in such simulation by considering a two-layered model: a model for the dynamics of a cable passing through a set of pulleys and an oscillation model based on the classical one-dimensional wave equation. The first layer considers the interaction between the cable and pulleys with the elevation equipment, while the second layer simulates cable oscillation. Numerical instability is avoided by suspending the oscillation layer when required. Due to the system properties, this can be carried out in such a way that does not cause significant loss in the system quality. It considers the oscillation…
Errores y dificultades de los futuros maestros de educación primaria al afrontar un problema de modelización asociado a la medida de magnitudes
En este trabajo se presenta un análisis cualitativo de una experiencia con estudiantes de segundo curso del Grado de Maestro/a en Educación Primaria. Concretamente, se detallan los diferentes errores conceptuales y procedimentales cometidos al resolver una tarea de modelización asociado a la medida de magnitudes. El problema presentado requiere cálculos matemáticos elementales que deberían estar consolidados en estudiantes de grado. Es la primera vez que el alumnado aborda una propuesta de este tipo y, aunque la modelización matemática se ha demostrado como un elemento eficaz para potenciar los procesos de enseñanza-aprendizaje de las matemáticas, en este caso supone un obstáculo añadido. S…
Interactive Terrain Simulation and Force Distribution Models in Sand Piles
This paper presents an application of Cellular Automata in the field of dry Granular Systems modelling While the study of granular systems is not a recent field, no efficient models exist, from a computational point of view, in classical methodologies Some previous works showed that the use of Cellular Automata is suitable for the development of models that can be used in real time applications This paper extends the existing Cellular Automata models in order to make them interactive A model for the reaction to external forces and a pressure distribution model are presented and analyzed, with numerical examples and simulations.
Approximation of Continuous Media Models for Granular Systems Using Cellular Automata
In this paper a new cellular automata model suitable for granular systems simulation is presented. The proposed model is shown to be equivalent to a particularization of the well known BCRE model of granular systems and a correspondence between the parameters of the presented model and the BCRE model is also set, allowing to fit these parameters for a given system. The model has the advantage over other cellular automata models of being more realistic in the behavior of the surface of heaps and slopes. The dynamics of the CA is analyzed in order to confirm that it also has one of the most important features of these systems, 1/f noise.