A symplectic eigensolution method in transversely isotropic piezoelectric cylindrical media

INTRODUCTION Since the phenomenon of piezoelectricity in natural crystals was discovered in 1880, it has been applied in many fields, such as smart structure, sensing devices and active control, because of its special properties. Combining electrical behavior with mechanical deformation is the special property which attracted great interest of researchers. Many models have been developed for studying piezoelec- tric effects. Dunn and Wienecke (1996) used Green’s functions for transverse…     

Enacting Informal Science Learning: Exploring the Battle for Informal Learning

Informal Science Learning (ISL) is a policy narrative of interest in the United Kingdom and abroad. This paper explores how a group of English secondary school science teachers, enacted ISL science clubs through employing the Periodic Table of Videos. It examines how these teachers ‘battled’ to enact ISL policy in performative conditions at the micro-scale, and how this battle reflected macro-scale epistemological and political considerations. Data from the study suggests that for some, ISL was low stakes as it was seen to have negligible impact upon performance data. As a result, there was some resistance towards enacting ISL and conflict between the formal and informal curriculum processes. Nonetheless, analysis indicates that the informants highly valued ISL despite the requirement for them to justify it over more formal and ‘effective’ approaches to learning science.     

WIDENING AND INCREASING POST-16 MATHEMATICS PARTICIPATION: PATHWAYS, PEDAGOGIES AND POLITICS

This paper explores the potential impact of a national pilot initiative in England aimed at increasing and widening participation in advanced mathematical study through the creation of a new qualification for 16- to 18-year-olds. This proposed qualification pathway—Use of Mathematics—sits in parallel with long-established, traditional advanced level qualifications, what we call ‘traditional Mathematics’ herein. Traditional Mathematics is typically required for entry to mathematically demanding undergraduate programmes. The structure, pedagogy and assessment of Use of Mathematics is designed to better prepare students in the application of mathematics, and its development has surfaced some of the tensions between academic/pure and vocational/applied mathematics. Here, we explore what Use of Mathematics offers, but we also consider some of the objections to its introduction in order to explore aspects of the knowledge politics of mathematics education. Our evaluation of this curriculum innovation raises important issues for the mathematics education community as countries seek to increase the numbers of people that are well prepared to apply mathematics in science and technology-based higher education courses and work places.     

Teachers' education, classroom quality, and young children's academic skills: results from seven studies of preschool programs

In an effort to provide high-quality preschool education, policymakers are increasingly requiring public preschool teachers to have at least a Bachelor's degree, preferably in early childhood education. Seven major studies of early care and education were used to predict classroom quality and children's academic outcomes from the educational attainment and major of teachers of 4-year-olds. The findings indicate largely null or contradictory associations, indicating that policies focused solely on increasing teachers' education will not suffice for improving classroom quality or maximizing children's academic gains. Instead, raising the effectiveness of early childhood education likely will require a broad range of professional development activities and supports targeted toward teachers' interactions with children.     

Improbable or impossible? How children reason about the possibility of extraordinary events

The present study investigated the development of possibility-judgment strategies between the ages of 4 and 8. In Experiment 1, 48 children and 16 adults were asked whether a variety of extraordinary events could or could not occur in real life. Although children of all ages denied the possibility of events that adults also judged impossible, children frequently denied the possibility of events that adults judged improbable but not impossible. Three additional experiments varied the manner in which possibility judgments were elicited and confirmed the robustness of preschoolers' tendency to judge improbable events impossible. Overall, it is argued that children initially mistake their inability to imagine circumstances that would allow an event to occur for evidence that no such circumstances exist.