Those who can, teach: addressing the crisis in mathematics in UK schools and universities

The crisis in UK mathematics education, both in schools and universities, has been widely reported in the national media. A recent study shows that 26% of full-time mathematics teachers in UK schools have no qualification in the subject, and that 31% of all UK schools' mathematics teachers are now over the age of 50. The crisis in school mathematics has impacted on much of the university sector, with some departments under threat of closure and widespread difficulties experienced in student recruitment. The availability of attractive careers for mathematics graduates impacts upon the numbers choosing to enter teaching, thus risking a spiral of decline. Furthermore, studies suggest that UK mathematics graduates often lack confidence in several key skills essential for teaching, such as presenting information effectively, working in teams, and written communication. This paper recounts the development of a unit of study in the Faculty of Mathematical Studies at the University of Southampton, England, in conjunction with a new initiative, the Undergraduate Ambassadors Scheme, which seek to address the crisis in UK mathematics education through the training and placement of final year undergraduates as teaching assistants in local schools. This with a view to promoting mathematics to the broadest possible constituency as a university choice, whilst simultaneously developing those key transferable skills in which undergraduates regularly feel least confident, and allowing undergraduates to experience a flavour of teaching as a career option.     

Children's Responses to Contrasting `Realistic' Mathematics Problems: Just how realistic are children ready to be?

In recent years there has been an increasing emphasis within the world of mathematics education on realistic problem solving. At the same time research has shown that children typically remain apparently unwilling or unable to introduce realistic considerations when solving supposedly realistic word problems, though research has also shown that children's behaviour in this domain does vary as a function of the nature of the item, its context and the child's social background. This paper analyses 11–12 year-old English children's responses to two realistic problems. The first is taken from English national tests; the second is a revised version of this item which has been rewritten to encourage a more realistic pattern of responses. Through a comparison of responses to the two items it is suggested that, given suitable realistic problems, many children may be more willing and able to introduce realistic responses in a testing context than earlier research might lead us to expect.This revised version was published online in September 2005 with corrections to the Cover Date.     

The Maintenance of Order and Use of Space in Primary School Buildings

An empirically grounded discussion of relationships which can exist between the maintenance of order in teaching situations and the use of space in primary school buildings is offered in this paper. Attention is specifically focused on verbal directives issued by teachers to their charges about what they deem acceptable behaviour in teaching areas during lesson periods. Examples of these directives are presented in order to illustrate both how teachers may manipulate children's use of space to impose on them particular definitions of educational order and also how they may use space as a means of disciplining those who transgress against that order.     

An Investigation of the Effectiveness of an Evaluation Instrument Designed for Use with Modular Masters Courses in a Range of International Contexts

In a previous paper the construction of an instrument designed to be of use in the evaluation of modular Masters courses for teachers and administrators in international schools was described. Initial impressions of the efficacy of the instrument were encouraging, and its use was extended in a number of ways within the scheme of continuing professional development organised through the Centre for the study of Education in an International Context at the University of Bath. In particular, the evaluation model was extended to three different modules taught in an increased number of Study Centre locations, by different tutors, to groups of different sizes and composition. Under such a range of conditions the question arises of parity of quality in the delivery of the modules, and the usefulness of the evaluation instrument in contributing to an assessment of the quality of teaching and learning was explored. This paper describes the results of an investigation undertaken to test the robustness of the instrument with respect to both the increased range of dimensions involved and the level of detail possible. The outcomes confirm initial impressions of the overall value of the instrument in assessing general levels of satisfaction expressed by participants with respect to a variety of course features, but also indicate the ways in which it could be employed as a tool to evaluate the relative contributions to overall success made by a set of components concerned with the content of the modules, the teaching arrangements, support for participants and the relevance of the modules to the educational work of those taking part.     

A Critical Study of Comics

The paper describes a project for Liverpool John Moores University PGCE Art and Design students in which they carried out practical research into comics and graphic novels as part of their preparation for teaching. The students were encouraged to investigate the history of the genre, its formal properties as well as its potential as a vehicle for social realism. The practical task was to prepare a single comic book page design, in the course of which they explored a range of possibilities from imaginative children's stories to serious issues such as illness and abuse. They took the opportunity to investigate the potential of this sequential medium to construct narratives using devices such as sequence, repetition and multiple perspectives as well as the juxtapositions of image and text. The paper contains examples of students' work where the investigations yielded interesting and innovative results.     

Taking care of youth mentoring relationships: red flags,repair, and respectful resolution

Mentoring is portrayed in the literature as benefiting young people, but ineffective or early termination of youth mentoring relationships can be detrimental. Researchers have not adequately explored issues surrounding the breakdown of youth mentoring relationships. Underpinned by a socio-ecological perspective, in this exploratory study we consider the various contexts within which these important relationships exist and identify early warning signs or red flags that a mentoring relationship is struggling. We interviewed mentees, mentors, and coordinators from four Western Australian youth mentoring programs about their experiences of mentoring relationships. Our findings suggest that red flags and repair strategies may be specific to particular programs, and that program coordinators play an important role in supporting relationships. Our research will help youth mentoring programs work toward early intervention strategies or appropriate and respectful termination of a relationship.     

Formulation of stable difference schemes for systems of initial-value partial differential equations

A general system of initial-value partial differential equations is classified into four categories based on the partial differential operators which define the equations. Specific combinations of the operators are termed “invariants” since they are common to all finite difference approximations to the system of equations. The “invariants” are used to a priori determine if one may formulate a stable difference approximation to a system of partial differential equations. This is in essence a numerical existence theory.     

The Importance of Professional Networks

Abstract

In the introductory column by new column coeditors Amy Cooper Cary and Rosemary Pleva Flynn, the authors explain the goals and methodology for the column, and address the significance of professional networking. Authors focus on networking strategies and resources for both new and seasoned archivists.     

Gender,Sports, and New Media: Predictors of Viewing during the 2008 Beijing Olympics

The 2008 Beijing Olympics was the most watched television event in U.S. television history, and represented a broad expansion and emphasis on online sports content. This study examined audience's multiplatform experience with the 2008 Beijing Games, particularly the interactions between and among gender groups, viewing the Olympics, and use of new media. Results indicate that although men and women were significantly different in sports viewing and media use in general, they shared similarities in seeking Olympic content on various media platforms.