Fractal structures in nonlinear plasma physics

Fractal structures appear in many situations related to the dynamics of conservative as well as dissipative dynamical systems, being a manifestation of chaotic behaviour. In open area-preserving discrete dynamical systems we can find fractal structures in the form of fractal boundaries, associated to escape basins, and even possessing the more general property of Wada. Such systems appear in certain applications in plasma physics, like the magnetic field line behaviour in tokamaks with ergodic limiters. The main purpose of this paper is to show how such fractal structures have observable consequences in terms of the transport properties in the plasma edge of tokamaks, some of which have been experimentally verified. We emphasize the role of the fractal structures in the understanding of mesoscale phenomena in plasmas, such as electromagnetic turbulence.

Why Implementing History and Philosophy in School Science Education is a Challenge: An Analysis of Obstacles

Teaching and learning with history and philosophy of science (HPS) has been, and continues to be, supported by science educators. While science education standards documents in many countries also stress the importance of teaching and learning with HPS, the approach still suffers from ineffective implementation in school science teaching. In order to better understand this problem, an analysis of the obstacles of implementing HPS into classrooms was undertaken. The obstacles taken into account were structured in four groups: 1. culture of teaching physics, 2. teachers` skills, epistemological and didactical attitudes and beliefs, 3. institutional framework of science teaching, and 4. textbooks as fundamental didactical support. Implications for more effective implementation of HPS are presented, taking the social nature of educational systems into account.

MATERIALS EDUCATION AND INNOVATION: GLOBALIZATION OPENS NEW FRONTIERS, OPPORTUNITIES AND CHALLENGES

In this paper we consider evolutionary pressures that will influence materials education and its role in the present scenario of Globalization: Challenges, Opportunities and needs. The main evolutionary pressures are related to some major control variables: increase of global population, new emerging technologies such as nanotechnology, alternative energies related to climate change, multimedia convergence in global communications, health, hunger, economic asymmetries and violence. Of course, many other factors could be identified, but this paper considers these as an adequate minimum basis for strategic considerations related to current materials education planning for the 21st century. In conclusion, we propose an International Network Program for Materials Education Strategy, thinking globally but acting regionally.