Reduced relative entropy techniques for a priori analysis of multiphase problems in elastodynamics

We give an a priori analysis of a semi-discrete discontinuous Galerkin scheme approximating solutions to a model of multiphase elastodynamics which involves an energy density depending not only on the strain but also the strain gradient. A key component in the analysis is the reduced relative entropy stability framework developed in Giesselmann (SIAM J Math Anal 46(5):3518–3539, 2014). The estimate we derive is optimal in the L∞(0,T;dG) norm for the strain and the L2(0,T;dG) norm for the velocity, where dG is an appropriate mesh dependent H1-like space.

The role of drama in the teaching of speaking and listening as the basis for social capital

This paper explores how the concept of 'social capital' relates to the teaching of speaking and listening. The argument draws on Bourdieu's notion that a common language is an illusion but posits that an understanding of the grammar of speech can be productive in the development of both an understanding of what constitutes effective speech and the development of competence in speaking. It is argued that applying structuralist notions of written grammar is an inadequate approach to understanding speech acts or enhancing the creative use of speech. An analysis is made of how typical features of speech relate to dramatic dialogue and how the meaning of what is said is contingent upon aural and visual signifiers. On this basis a competent speaker is seen as being one who produces expressions appropriate for a range of situations by intentionally employing such signifiers. The paper draws on research into the way drama teachers make explicit reference to and use of semiotics and dramatic effectiveness in order to improve students' performance and by so doing empower them to increase their social capital. Ultimately, it is concluded that helping students identify, analyse and employ the aural, visual and verbal grammar of spoken English is not an adjunct to the subject of drama, but an intrinsic part of understanding the art form. What is called for is a re-appraisal by drama teachers of their own understanding of concepts relating to speech acts in order to enhance this area of their work.

Children's misconceptions and the teaching of early years science: a case study

The aim of this paper is to examine how teachers’ awareness of children’s misconceptions can affect children’s acquisition of scientific concepts. In other words, this paper is aimed at examining whether teaching is altered when teachers are aware of pupils’ misconceptions of a specific science concept. This paper details a case study focused on two kindergarten classes of five year-old children and their teachers and took place in Cyprus. Two lessons were observed and three children from each class were interviewed. Through the analysis of children’s responses it was possible to identify specific misconceptions related to the concept of rain. The results indicate that it is very important for teachers to be aware of what misconceptions children have, because this can help them plan lessons for children to overcome their misconceptions. It seems that it is more likely for children to overcome their misconceptions when teachers take these misconceptions into account as they plan and teach science lessons.

Disambiguating with Bourdieu: unravelling policy from practice in the teaching of children with English as an additional language

This article explores the use of Bourdieusian analysis for examining how policy and practice interact in the teaching of English and therefore in the development of children’s language and literacy; in particular how Bourdieusian analysis uncovers the ways in which teachers’ practice has been influenced unconsciously by centralised shaping of the curriculum for English in England while the pupil demographic in schools has become more linguistically diverse. Data were collected from interviews with both newly qualified and very experienced primary school (pupil ages 5 – 11) teachers, whose pedagogical norms for the teaching of English were challenged by the arrival of non-English speakers in their classrooms. The discussion highlights how the use of Bourdieusian constructs of field, habitus and capital can disambiguate teachers’ practical classroom decisions from the influences of policy expectations.

Reduced relative entropy techniques for a posteriori analysis of multiphase problems in elastodynamics

We give an a posteriori analysis of a semidiscrete discontinuous Galerkin scheme approximating solutions to a model of multiphase elastodynamics, which involves an energy density depending not only on the strain but also the strain gradient. A key component in the analysis is the reduced relative entropy stability framework developed in Giesselmann (2014, SIAM J. Math. Anal., 46, 3518–3539). This framework allows energy-type arguments to be applied to continuous functions. Since we advocate the use of discontinuous Galerkin methods we make use of two families of reconstructions, one set of discrete reconstructions and a set of elliptic reconstructions to apply the reduced relative entropy framework in this setting.

Inspecting the teaching of singing in the teacher training colleges of England, Wales and Scotland 1883-1899

This paper investigates the links between the teaching of singing, training and inspection during the late Victorian era. It utilises as a primary source the annual inspection reports of the music inspector, Sir John Stainer. More specifically it focuses upon the musical background of the students in the training colleges of England, Wales and Scotland, the methods employed to teach sight singing and voice production, the vocal repertoire and preparation for the teaching of singing in schools. Finally, some comparison is made with the present day and the relationship between the teaching of singing, training and inspection.

Contested and contesting identities: minority languages vs. the teaching of 'world' languages within the global cultural economy

This paper juxtaposes postmodernist discourses on language, identity and cultural power with historical forms of language inequalities grounded in the nation-state. The discussion is presented in three sections. The first section focuses on the mixed legacies of language-state relations within the pluralist nation-state, colonial and postcolonial language policies. The second section examines the concept of linguistic minority rights beyond the nation-state. This incorporates discussion of transmigration, the breaking up of previous power blocs in Eastern Europe and the role of language in the articulation of emergent 'ethnic' nationalisms. The third section examines the concept of multilingualism within the interactive cultural landscape defined by 'informationalism'. Discussing the collective impact of these variables on the shaping of new cultural, economic and political inequalities, the paper highlights the tensions in which the concept of linguistic minority rights exists in the world today.