Transition of pupils from Key Stage 2 to 3 deemed gifted and talented in mathematics: an initial study

In this article Geoff Tennant and Dave Harries report on the early stages of a research project looking to examine the transition from Key Stage (KS) 2 to 3 of children deemed Gifted and Talented (G&T) in mathematics. An examination of relevant literature points towards variation in definition of key terms and underlying rationale for activities. Preliminary fieldwork points towards a lack of meaningful communication between schools, with primary school teachers in particular left to themselves to decide how to work with children deemed G&T. Some pointers for action are given, along with ideas for future research and a request for colleagues interested in working with us to get in touch.

Digitisation, representation, and formalisation - Digital libraries of mathematics

One of the main tasks of the mathematical knowledge management community must surely be to enhance access to mathematics on digital systems. In this paper we present a spectrum of approaches to solving the various problems inherent in this task, arguing that a variety of approaches is both necessary and useful. The main ideas presented are about the differences between digitised mathematics, digitally represented mathematics and formalised mathematics. Each has its part to play in managing mathematical information in a connected world. Digitised material is that which is embodied in a computer file, accessible and displayable locally or globally. Represented material is digital material in which there is some structure (usually syntactic in nature) which maps to the mathematics contained in the digitised information. Formalised material is that in which both the syntax and semantics of the represented material, is automatically accessible. Given the range of mathematical information to which access is desired, and the limited resources available for managing that information, we must ensure that these resources are applied to digitise, form representations of or formalise, existing and new mathematical information in such a way as to extract the most benefit from the least expenditure of resources. We also analyse some of the various social and legal issues which surround the practical tasks.

Formative assessment in teacher education: the development of a diagnostic language test for trainee teachers of German

This article describes the development and validation of a diagnostic test of German and its integration in a programme of formative assessment during a one-year initial teacher-training course. The test focuses on linguistic aspects that cause difficulty for trainee teachers of German as a foreign language and assesses implicit and explicit grammatical knowledge as well as students' confidence in this knowledge. Administration of the test to 57 German speakers in four groups (first-year undergraduates, fourth-year undergraduates, postgraduate trainees, and native speakers) provided evidence of its reliability and validity.

The first international workshop on the role and impact of mathematics in medicine: a collective account

The First International Workshop on The Role and Impact of Mathematics in Medicine (RIMM) convened in Paris in June 2010. A broad range of researchers discussed the difficulties, challenges and opportunities faced by those wishing to see mathematical methods contribute to improved medical outcomes. Finding mechanisms for inter- disciplinary meetings, developing a common language, staying focused on the medical problem at hand, deriving realistic mathematical solutions, obtaining

Confucius, constructivism and the impact of continuing professional development on teachers of English in China

In this article we explore issues around the sustainability and appropriateness of professional development for secondary teachers of English in China offered by overseas providers from the perspective of teachers who completed courses at the University of Reading between 2003 and 2010. We start by offering an overview of English teaching in China. We then describe the collection and analysis of interviews and focus groups discussions involving former participants, their teaching colleagues and senior management, as well as classroom observation. Evidence is presented for changes in teachers’ philosophies of education directly attributable to participation in the courses; for improved teacher competencies (linguistic, cultural and pedagogical) in the classroom; and for the ways in which returnees are undertaking new roles and responsibilities which exploit their new understandings. Finally, we discuss the implications of these findings for both providers and sponsors of CPD for English language teachers. We conclude that the recognition of English as an essential element in the modernisation of China, together with the growing awareness of the weaknesses of traditional approaches to the teaching of the language, has opened up new spaces for dialogue concerning pedagogy and professional practice. It is clearly important, however, that new approaches to the teaching of English are presented in a way which allows teachers to decide which elements should be incorporated into their teaching and how.

Conjecture, proof, and sense in Wittgenstein's philosophy of mathematics

One of the key tenets in Wittgenstein’s philosophy of mathematics is that a mathematical proposition gets its meaning from its proof. This seems to have the paradoxical consequence that a mathematical conjecture has no meaning, or at least not the same meaning that it will have once a proof has been found. Hence, it would appear that a conjecture can never be proven true: for what is proven true must ipso facto be a different proposition from what was only conjectured. Moreover, it would appear impossible that the same mathematical proposition be proven in different ways. — I will consider some of Wittgenstein’s remarks on these issues, and attempt to reconstruct his position in a way that makes it appear less paradoxical.

‘Superteachers’, saints and solitaires: an investigation into advanced skills teachers of drama

This paper reports on a survey conducted in 2010 among ASTs who identified themselves as being specialists in, or having responsibility for, the subject of drama. The survey endeavoured to explore the professional backgrounds and experiences of these ASTs and gain insights into what they enjoyed about the role. It was especially concerned to address the following questions: 1. What general skills do ASTs in drama think they need to possess? 2. What subject specific knowledge and skills do they feel are needed to satisfy the demands of their role? In addition, insights were sought into what training and support had been afforded them, how they regarded themselves and were regarded by others in the role.