What teachers see as creative incidents in elementary science lessons

Teachers are often urged to nurture creativity but their conceptions of creativity in specific school subjects may have limitations which weaken their attempts to do so. Primary school teachers in England were asked to rate lesson activities according to the opportunity they offered children for creative thought in science. The teachers could, overall, distinguish between creative and reproductive activities but, as predicted, there was evidence of narrow conceptions of school science creativity, biased towards fact finding, practical activity, and technological design. Some teachers saw creativity in essentially reproductive activities and in what simply stimulated interest and on-task talk. Some implications and recommendations for teacher training and professional development are discussed

Fostering creative thinking in a digital world

We are now moving rapidly into a new world, one shaped by the Fourth ‘Industrial’ Revolution. This world is one in which digital technologies in various forms will shape work, play and everyday life. Such technologies, unlike the relatively passive ones of the past, are adaptive, able to learn and make decisions and changes using their artificial intelligence (AI). AI, however, has its limits, and productive thought continues to need fostering in the classroom. As a consequence, education systems around the world must respond in what has been called the Fourth Education Revolution. This article explores the potential relationship between AI, creative thinking and education, and the fostering and development of human creative thinking supported by AI. Some significant omissions in current notions of AI support for creative thinking are presented, and some cautionary thoughts offered. The article concludes with recommendations for a more structured and comprehensive provision of AI support

How can the understanding of analysis of sonata form movements be deepened by the use of graphic representation?

The aim of the study presented in this paper is to explore the nature of understanding when learning music through the use of ‘graphic representations’ trialled in a learning conversation with a ten-year old flautist. It is argued that the powerful visual component of presenting a musical score in graphic form can enhance students’ understanding and ability to process the score more effectively by providing a succinct way of accessing the data. Central to understanding the analysis of sonata form movements is the need to create a representation which is independent from the existing score. This study offers a practical way of doing this which has the potential for wider application

Nonlocal Astroparticles in Einstein's Universe

Gravitational probes should maintain spatial flatness for Einsten-Infeld-Hoffmann dynamics of relativistic matter-energy. The continuous elementary source/particle in Einstein's gravitational theory is the r^{-4} radial energy density rather than the delta-operator density in empty-space gravitation. The space energy integral of such an infinite (astro)particle is finite and determines its nonlocal gravitational charge for the energy-to-energy attraction of other nonlocal (astro)particles. The non-empty flat space of the undivided material Universe is charged continuously by the world energy density of the global ensemble of overlapping radial particles. Nonlocal gravitational/inertial energy-charges incorporate Machian relativism quantitatively into Einstein's gravitation for self-contained SR-GR dynamics without references on Newton's mass-to-mass attraction.Comment: 9 pages, typos and arguments adde

Nontrivial eigenvalues of the Liouvillian of an open quantum system

We present methods of finding complex eigenvalues of the Liouvillian of an open quantum system. The goal is to find eigenvalues that cannot be predicted from the eigenvalues of the corresponding Hamiltonian. Our model is a T-type quantum dot with an infinitely long lead. We suggest the existence of the non-trivial eigenvalues of the Liouvillian in two ways: one way is to show that the original problem reduces to the problem of a two-particle Hamiltonian with a two-body interaction and the other way is to show that diagram expansion of the Green's function has correlation between the bra state and the ket state. We also introduce the integral equations equivalent to the original eigenvalue problem.Comment: 5 pages, 2 figures, proceeding

Nonparametric Information Geometry

The differential-geometric structure of the set of positive densities on a given measure space has raised the interest of many mathematicians after the discovery by C.R. Rao of the geometric meaning of the Fisher information. Most of the research is focused on parametric statistical models. In series of papers by author and coworkers a particular version of the nonparametric case has been discussed. It consists of a minimalistic structure modeled according the theory of exponential families: given a reference density other densities are represented by the centered log likelihood which is an element of an Orlicz space. This mappings give a system of charts of a Banach manifold. It has been observed that, while the construction is natural, the practical applicability is limited by the technical difficulty to deal with such a class of Banach spaces. It has been suggested recently to replace the exponential function with other functions with similar behavior but polynomial growth at infinity in order to obtain more tractable Banach spaces, e.g. Hilbert spaces. We give first a review of our theory with special emphasis on the specific issues of the infinite dimensional setting. In a second part we discuss two specific topics, differential equations and the metric connection. The position of this line of research with respect to other approaches is briefly discussed.Comment: Submitted for publication in the Proceedings od GSI2013 Aug 28-30 2013 Pari

Quantum Groups, Gravity, and the Generalized Uncertainty Principle

We investigate the relationship between the generalized uncertainty principle in quantum gravity and the quantum deformation of the Poincar\'e algebra. We find that a deformed Newton-Wigner position operator and the generators of spatial translations and rotations of the deformed Poincar\'e algebra obey a deformed Heisenberg algebra from which the generalized uncertainty principle follows. The result indicates that in the $\kappa$-deformed Poincar\'e algebra a minimal observable length emerges naturally.Comment: 13 pages, IFUP-TH 19/93, May 1993 (revised Nov. 1993

The challenge of enterprise/innovation: a case study of a modern university

In the prevailing economic and political climate for Higher Education a greater emphasis has been placed on diversifying the funding base. The present study was undertaken between 2012 and 2014 and addressed the implementation of an approach to the transformation of one academic school in a medium-sized modern university in Wales to a more engaged enterprise culture. A multimethod investigation included a bi-lingual (English and Welsh) online survey of academic staff and yielded a 71% response rate (n = 45). The findings informed a series of in-depth interviews (n = 24) with a representative sample of those involved in enterprise work (support staff, managers, senior managers), and those who were not. The results provided the platform for the ‘S4E model’ for effective engagement with enterprise: (1) Strategic significance for Enterprise, (2) Support for Enterprise, (3) Synergy for Enterprise, and (4) Success for Enterprise. The outcomes of the research and the recommendations from it have potential to inform practice in other academic schools within the university and, in a wider context, within other Schools of Education regionally, nationally and internationally. Its original empirical exploration of enterprise within education studies is a significant contribution to that body of knowledge