1,720,998 research outputs found
Game@School: Teaching STEM through mobile apps and role-based games
No full textDealing with digital native students requires new methodologies of teaching. In this work, we describe an approach and a conceptual architecture of a supporting teaching tool that takes into account two main objectives in new teaching trends: Virtual Learning Environments (VLEs) and Intelligent Pedagogical Agents (IPAs). The main idea is a VLE that in turn is a role playing game. The game structure follows a quest-based game that is deliberately designed as a system of problem-solving activities aimed at achieving objectives, to be successfully addressed in order to progress and eventually win. The emotional behavior of the IPAs has been built by conducting a study on emotions with high school students. Stemming from the study results, it has been built an Android application that uses the IPA as a standalone application to prove the efficacy of the IPA itself
Discontinuous viscosity solutions of first-order Hamilton-Jacobi equations
No full textWe study the Cauchy problem for the simplest first-order Hamilton-Jacobi equation in one space dimension, with a bounded and Lipschitz continuous Hamiltonian which only depends on the spatial derivative. Uniqueness of discontinuous viscosity solutions is proven, if the initial data function has a finite number of jump discontinuities. Main ingredients of the proof are the barrier effect of spatial discontinuities of a solution (which is linked to the boundedness of the Hamiltonian), and a comparison theorem for semicontinuous viscosity subsolution and supersolution. These are defined in the spirit of the paper [H. Ishii, Perron's method for Hamilton-Jacobi equations, Duke Math. J. 55 (1987) 368-384], yet using essential limits to introduce semicontinuous envelopes. The definition is shown to be compatible with Perron's method for existence and is crucial in the uniqueness proof. We also describe some properties of the time evolution of spatial jump discontinuities of the solution, and obtain several results about singular Neumann problems which arise in connection with the above referred barrier effect
Discontinuous solutions of Hamilton–Jacobi equations versus Radon measure-valued solutions of scalar conservation laws: disappearance of singularities
Full text linkLet H be a bounded and Lipschitz continuous function. We consider discontinuous viscosity solutions of the Hamilton–Jacobi equation Ut+ H(Ux) = 0 and signed Radon measure valued entropy solutions of the conservation law ut+ [H(u)] x= 0. After having proved a precise statement of the formal relation Ux= u, we establish estimates for the (strictly positive!) times at which singularities of the solutions disappear. Here singularities are jump discontinuities in case of the Hamilton–Jacobi equation and signed singular measures in case of the conservation law
Signed radon measure-valued solutions of flux saturated scalar conservation laws
Full text linkWe prove existence and uniqueness for a class of signed Radon measure-valued entropy solutions of the Cauchy problem for a first order scalar hyperbolic conservation law in one space dimension. The initial data of the problem is a finite superposition of Dirac masses, whereas the flux is Lipschitz continuous and bounded. The solution class is determined by an additional condition which is needed to prove uniqueness
The "Gens Memmia", Lucretius' "Hymn to Venus", and the Sanctuary of Terracina: A Neglected Hypothesis
No full textThe "Gens Memmia", Lucretius' "Hymn to Venus", and the Sanctuary of Terracina: A Neglected Hypothesi
Robotic teaching assistance for the "Tower of Hanoi" problem
No full textIn this work the authors investigate the effectiveness of robotics in education. Rather than creating excitement for children when playing with robots in games, they are examining the overall learning environment where a robot acts as a teaching assistant. They designed a suitable lesson plan when groups of teenagers participate in activities involving the use of the robot: the authors first performed experiments for the robot to solve the "Tower of Hanoi" problem; then, they designed a lesson plan to teach the "Tower of Hanoi" problem using a KUKA youBot as a teaching assistant. The experiment involved two groups of students: one group was taught with the robot and the other group without the robot. Finally, the authors present results of a comparative study based on questionnaires, in order to understand if the effectiveness of the teaching has been greater with the robot as teaching assistant
Measure-valued solutions of scalar hyperbolic conservation laws, Part 1: Existence and time evolution of singular parts
No full textWe prove existence for a class of signed Radon measure-valued entropy solutions of the Cauchy problem for a first order scalar hyperbolic conservation law in one space dimension. The initial data of the problem is a finite superposition of Dirac masses, whereas the flux is Lipschitz continuous. Existence is proven by a constructive procedure which makes use of a suitable family of approximating problems. Relevant qualitative properties of such constructed solutions are pointed out
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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