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This paper outlines the difficulties with the current system of tiering in GCSE Mathematics exams, indicating both the problem of equality across tiers of the same grade and a particular problem in Mathematics, which with three tiers has a foundation tier on which it is not possible to gain a C grade.The authors outline a different system in which all candidates take basic papers on which all grades from G to C can be awarded and then an extension paper is available for the higher grades. This system has been tried out with a sample of pupils from a number of schools and a non-operational award was made. The authors describe the results of this and discuss potential difficulties with this system. Comparisons between the systems are made, showing that the established system of tiering is inherently unstable, while the proposed system, though not perfect, has much to commend it. [ABSTRACT FROM AUTHOR]

Between 1809 and 1820, Thomas Knight (1775–1853) published quite a few papers on mathematics and its applications. These show him to have been surprisingly well-versed in French analytical mathematics at a time when French works were little read by his British contemporaries. InBSHM Bulletin2, Gloria Edwards and I published a paper (Craik and Edwards 2004) entitled ‘In search of Thomas Knight’, designated below as ‘[1]’, that examined Knight’s life and work. This follow-up paper gives further biographical information that links him with Edinburgh; it describes some more of his publications that were previously overlooked (for notice of the latter, I am grateful to a correspondent who wishes to remain anonymous); and it records some remarks about his work by his contemporaries. [ABSTRACT FROM PUBLISHER]

This paper will consider the range of British participation in mathematics internationally during the nineteenth century through an analysis of British mathematical contributions to scientific journals outside of Britain. Viewing scientific papers contained in journals as significant indicators of research, we consider scientists who authored or read and responded in print to papers in a given area within a given group of journals to constitute a publication community. The extent of publication by British mathematicians in these journals can help characterize the role of foreign publication in nineteenth-century British mathematics. Moreover, the isolation of educational, societal, and personal circumstances which motivated British mathematicians to present their work to foreign journals highlights limited but concentrated groups of mathematicians committed to developing and strengthening international mathematical ties with Britain. [ABSTRACT FROM AUTHOR]

As part of a broader research objective concerned with identifying the range of employer defined skill profiles that characterize workplace performance, this paper examines skill contexts for Application of Number, one of six UK defined Key Skills similar to Australian defined Key Competencies. Following the construction of questionnaires, grounded in the Analytic Hierarchy Process, applications of the instrument in both the UK and in Australia produced a ratio scale of priorities within the Key Skills area. This enabled a specification of the relative balance between classical competencies, e.g. facility with pen and paper calculations and emerging competencies demanded by the effective use of ICT. Relevance to workplace learning, including the transition from school to employment, and related aspects of mathematics education are discussed. Among the research outcomes is that spreadsheets are assuming a pre-eminent position and that this is an overriding priority for each defined activity and at each job level. [ABSTRACT FROM AUTHOR]

The article provides updates concerning the field of mathematics as of March 2007. The British National Cataloguing Unit for the Archives of Contemporary Scientists has received a grant for a project on the archives of British physicists and mathematicians. A team of mathematicians and computer scientists in the U.S. has developed a pedagogical technique for teaching material in discrete mathematics. A quantity of primary and secondary materials for the history of mathematics is available online.

In a deliberately provocative first part to this paper, I argue that nineteenth-century British mathematicians had an unduly high opinion of themselves and a striking lack of appreciation for contemporary continental developments. I argue that this failure was rooted in the institutions that supported mathematics, and was only remedied towards the end of the century. In the more sober second half of the paper I ask if historians of mathematics have subscribed to this overestimate, and explore some related questions, among them what are historians doing when they write history: telling it as it was, or righting or defending the record? Historians of mathematics also need to consider British priorities for research in the nineteenth century, and a comparison with other minor players (such as Japan, Portugal, or Poland) might be illuminating. [ABSTRACT FROM AUTHOR]

Although the Victorian era was characterized by the dominance of Great Britain both militarily and economically, the achievements of the British in mathematics were considerably less spectacular. Nevertheless, significant contributions were made by British mathematicians, several of whose names are still well known today. This paper highlights the principal mathematical developments in Britain during this time, closing with some observations on the weaknesses and limitations of Victorian British mathematics. [ABSTRACT FROM AUTHOR]

Innovation in learning and teaching is an everyday requirement in contemporary higher education (HE), especially in challenging subjects such as mathematics. Teaching mathematics to students with limited experience of formal mathematical instruction is a good example of a demanding pedagogical undertaking where innovatory practice can help HE teachers rise to the challenge. This paper presents an innovative game-based learning approach to the teaching of basic mathematics in HE through the example of a first-year mathematics module of the BSc Computer Science course offered by the Aberystwyth University (UK). Excellent examination results and positive student feedback concerning the learning experience point to the value-addedness of this approach in HE and it is, therefore, offered here as an example of good teaching practice to be disseminated more widely in the sector. [ABSTRACT FROM AUTHOR]

Science, technology, engineering, and mathematics (STEM) skills are very valuable for economic growth. However, the number of young people pursuing STEM learning trajectories in the United Kingdom was lower than the predicted demand during the last decade. Several STEM enrichment and enhancement activities were thus funded by the government, private, and charitable organisations to improve understanding of and raise pupil interest in these subjects. One possible way of measuring the impact of these activities in supporting pupil understanding of maths was to track the proportion of young people obtaining a ‘good’ grade in standardised national tests such as the GCSEs. Attainment is of course only one possible outcome of education but certainly a very important one because students are more likely to continue studying subjects in which they score higher. This makes maths attainment even more important as it is a pre-requisite for admission to STEM degree courses. This longitudinal study makes use of the National Pupil Database to assess the impact of these schemes on maths attainment of participating schools. Following up 300 intervention schools for five years the study shows the intervention group did not do any better than the comparator. The paper suggests further directions for research and offers recommendations for practice. [ABSTRACT FROM PUBLISHER]

This paper explores the views of a group of students who took an oral performance assessment in a first-year mathematics module. Such assessments are unusual for most subjects in the UK, but particularly within the generally homogenous assessment diet of undergraduate mathematics. The evidence presented here resonates with some, but not all, of the existing literature on oral assessment and suggests that, despite concerns about anxiety and fairness, students see oral assessments as encouraging a focus on understanding, being relatively authentic and reactive to their needs. We argue that, suitably implemented, oral assessment may be a viable assessment method for straddling the ‘assessment for’ and ‘assessment of’ learning divide in higher education. [ABSTRACT FROM PUBLISHER]

This paper reports the outcomes of a ‘lesson study’ project conducted in a mathematics department with four serving teachers in a secondary school in England. Using Dudley’s lesson study framework and drawing on Hargreaves and Fullan’s notion of professional capital, the feasibility and value of collaborative lesson study as a vehicle for the development of teacher learning were explored. Planning and evaluation meetings as well as end-of-project interviews were analysed to investigate how teachers planned research lessons together and how these were evaluated. Despite time constraints, teachers who engaged in lesson study reported that the process improved understanding of their students; that collaboration helped them to develop less-teacher-centred approaches and created a stronger sense of teacher community. The project demonstrated that lesson study has potential as an alternative or complementary model of teachers’ learning, but it also throws up substantive organisational challenges if its use is to expand. [ABSTRACT FROM PUBLISHER]

Outdoor education has received greater attention in the United Kingdom with the launch of the Learning Outside the Classroom Manifesto. However, teachers' lack of confidence and competence appear to be key factors underpinning the extent of outdoor learning provision in schools. This paper reports on a partnership project in which student teachers worked alongside classroom teachers to create outdoor activities in primary mathematics. Findings suggest that such a partnership provides a supporting framework for both teachers and student teachers to develop confidence, competence and enthusiasm for the provision of future outdoor learning experiences. [ABSTRACT FROM AUTHOR]

In this paper, I examine the properties of the handicapping system in the UK. Using a generalized ordered logistic regression model of hole by hole scores of individuals, simulation was employed to calculate the probability of winning for an individual in stroke play and match play head to heads and also in tournament competitions with multiple entrants. The results suggest that the current handicapping system does not produce equal probabilities of players with different handicaps winning. Specifically, lower handicappers have a higher probability of winning in both stroke play and match play games. Having investigated the possibility of employing scaling factors in order to level these probabilities, I pose the question of the extent to which equal probabilities is in fact a desirable property of a handicapping system. [ABSTRACT FROM AUTHOR]

What difference do teacher educators really make? This paper explores the role of mathematics student-teachers' pre-training dispositions (habitus) in reproducing classroom practice, and the effect of different training contexts (habitat) upon what Bourdieu called "dispositional harmonisation". These Bourdieuan concepts are mobilised to examine aspects of pre-service teacher education, students' emerging teaching dispositions and the sociogeographical distribution of new mathematics teachers in the United Kingdom. This small-scale study suggests that it may be difficult for teacher-educators to influence the long-term practices of new teachers, by indicating how educational inequality is perpetuated through the positioning of new teachers in their "natural" teaching habitats. Finally, I examine the need for further research and the potential for disrupting these processes of social and pedagogical reproduction and consider the need to develop critical forms of mathematics teacher education. [ABSTRACT FROM AUTHOR]

In a recent survey Sutherland and Dewhurst itemized the extent to which various types of departments expected selected mathematical topics in the background of incoming undergraduates. Using the results of diagnostic tests it is possible to estimate the actual capability of students with given prior qualifications to provide a 'probable preparedness' in specific topics. This paper compares expectations with probable preparedness in a range of topics. It is found that while some departments have realistic expectations about the background of their incoming students, others seem over-optimistic about the mathematical knowledge of today's students. Sometimes, topics that the department actually requires must in fact be covered ab initio with the students that they recruit. [ABSTRACT FROM AUTHOR]

There has been widespread concern over the lack of preparedness of students making the transition from school to university mathematics and the changing profile of entrants to mathematical subjects in higher education has been well documented. In this paper, using documentary analysis and data from an informal case study, we locate the antecedents of this changed profile in the general shift across all subjects to a more utilitarian higher education, alongside the more specific changes in A-level mathematics provision which have been largely market driven. Our conclusions suggest that, ironically, changes put in place to make mathematics more widely useful may result in it losing just those features that make it marketable. [ABSTRACT FROM AUTHOR]

How does the design of technology-based service mathematics shape science students' understandings of mathematics? Reciprocally, how do the conceptions of undergraduate mathematics teachers concerning service mathematics shape their design decisions when building a technology-based course? The paper starts from the premise that simultaneous study of design and learning together may throw light on epistemological and psychological issues in learning mathematics. The corpus of data was derived from two university mathematics departments, each of which was attempting to design and implement a service course of undergraduate mathematics for science students. The findings reveal a complex relationship between design and learning, with implications for the design of instructional approaches. [ABSTRACT FROM AUTHOR]

This paper derives an optimal reflationary mix for the next decade and comments on the industrial implications of this policy. The discussion is based on simulations of the multi-sectoral dynamic model of the UK economy developed by members of the Cambridge Growth Project. The results suggest that the concentration on macroeconomic policy alone may be misguided and that instruments which attack the roots of Britain's industrial problems should receive more attention. The paper also demonstrates that the optimal control procedure is a reliable tool for steering an economy towards a desired target trajectory and that this is feasible for very large econometric models. [ABSTRACT FROM AUTHOR]

This study used semi-structured interviews with staff in 14 secondary schools in England to explore strategies for entering students to GCSE Mathematics, focusing on the use of early and multiple examination entry. The key findings suggest that teachers were keenly aware of performativity pressures and that this prompted the use of a number of strategic entry practices, including the frequent use of early entry to allow students multiple examination attempts. This approach aimed to maximise the number of students achieving a grade C, the threshold for school accountability measures and for accessing further education and employment opportunities. Widespread use of early and multiple entry is likely to cease in England following amendments to accountability measures announced in 2013, yet this study adds a further perspective to the well-established literature detailing the impact of accountability measures in schools, as well as depicting teachers’ views on the effects of early and multiple entry upon pupils’ education. [ABSTRACT FROM AUTHOR]

We report on an action research study conducted by two mathematics teacher educators in the United Kingdom and Hong Kong. The project consisted of three phases, the first two taking place in our respective teacher education courses and a final phase in which prospective mathematics teachers from both locations engaged in dialogue through a speculative fiction task. Our aim was to explore how our prospective mathematics teachers can be supported in becoming mathematics teachers for sustainable futures by innovating our own mathematics teacher education curricula. This study suggests that generative methods which support teachers in speculating on paths to potential futures as teachers of mathematics, can provide access to how prospective teachers negotiate issues in relation to the climate crisis and ways in which they conceive of related changes in their practices. By identifying the aspects of mathematics teaching that are viewed by the prospective teachers as contingent, and through offering tasks that support an expansion of this view, teacher educators are better placed to support the development of teaching practices needed for sustainable futures. [ABSTRACT FROM AUTHOR]

Focuses on a project in United Kingdom universities by the UK Higher Education Funding Council, aimed at sharing of innovative practices in the teaching and assessing of mathematics in higher education. Background information on the project; Outline of the project; Key concerns of those teaching undergraduate mathematics; Details on the experiences of mathematicians as teachers.

Establishes whether mathematics is a barrier to higher education for adult returnees on Access courses, a project funded by the Higher Education Funding Council at the University of Exeter in England. Influence of social inequalities on participation in educational activities; Review of Access philosophy.

Background: In the UK an estimated one in ten primary school pupils have diagnosable mental health problems which may impact their education. Aims/context: This study examined a primary-school-based art therapy service for children experiencing social, emotional and mental health difficulties to assess the intervention's acceptability and possible changes in classroom learning. Methods: A mixed methods before-and-after study was conducted with 25 children in art therapy and a comparison group of 25 children per subject for reading, writing and maths attainment. A focus group with 10 teachers and interviews with 37 children were used to examine perceptions of art therapy and classroom learning. Results: Academic attainment was similar between the art therapy and comparison children. Both groups' learning rate resembled that of national minimum expectations. Children and teachers perceived art therapy to be helpful for engagement with classroom learning, relationships with teachers and peers, and learning time. Conclusions: Further research is needed to develop this primary-school-based art therapy programme, assess transferability, and examine wider educational outcomes. Implications for practice: Primary-school-based art therapy may be particularly helpful when it is perceived as: a safe place, sessions being social and fun, facilitates coping strategies, expressing, thinking and talking, as well as making artwork. Plain-language summary In the UK an estimated one in ten primary school pupils suffer from mental health problems, and this can affect their educational attainment. Thus, it is important that therapies help children to gain positive outcomes both in mental health and educationally. We looked at one art therapy service, which specifically focuses on helping children to understand their own and others' minds (metallization), within one primary school in London. Thirty-seven children referred to art therapy with social, emotional and mental health difficulties were included. Ten class teachers participated. The aims were to see if the children, and their teachers, found the approach acceptable and if there were any indications of changes in classroom learning. There were no differences in reading, writing and maths scores between children attending art therapy and comparison children receiving usual education support. However, all the children learned at the same rate as the national minimum expectation. Art therapy may have prevented the increasing educational attainment gap that social, emotional and mental health difficulties can bring. We held a focus group with the class teachers and interviewed the children and both reported experiencing art therapy as helpful for engagement with classroom learning, relationships with teachers and peers, and learning time. Specific aspects of art therapy which they considered helpful were: art therapy being a safe place; learning coping strategies; expressing, thinking and talking in art therapy; making artwork; and sessions being social and fun. The teachers also appreciated: advocating and sharing information; psychoeducation and collaborative work; reflecting on actions; encouraging independence; framing school as a positive place with trusted adults; working with transitions and endings. We recommend further research, including more art therapists, schools, teachers, parents and children, to further develop and assess this approach to art therapy in primary schools. [ABSTRACT FROM AUTHOR]

The need to improve student success in community colleges has resulted in a growing interest in developmental mathematics. Yet there remains a need to understand the motivations and beliefs of developmental mathematics students in order to cultivate their success. Self-efficacy has been identified to be a predictor of student success. Little is known about the antecedents or sources of self-efficacy of students enrolled in remedial courses at community colleges and how their self-efficacy can be bolstered through such courses. An instrument was developed to measure sources of mathematics self-efficacy and was originally tested with middle school students. Using a sample of 439 students, it was found that a scale which measures sources of self-efficacy is psychometrically acceptable for adults completing mathematics remediation. Our results indicated that the four theorised sources of self-efficacy explained a large percentage of the variance in mathematics skill self-efficacy for our sample. As hypothesised by others, mastery experiences was the best predictor of self-efficacy but all sources influenced mathematics skills self-efficacy. [ABSTRACT FROM AUTHOR]

The benefits of problem-based learning (PBL) to student learning have prompted researchers to investigate this pedagogical approach over the past few decades. However, little research has examined how PBL can be applied to mathematics learning and teaching, especially in countries like Taiwan, where the majority of teachers are accustomed to lecture methods and students are used to this style of teaching. This study examines the actions of a teacher and her class of 35 fifth-grade students (10–11-year-olds) as they tried to take on and respond to the demands of their new roles as “facilitator” and “constructors”, respectively, during a one-year PBL intervention in a Taiwanese mathematics classroom. Our findings provide insights into classroom participants’ role transition, from a customary role to a new role, when engaging with PBL. We identify an interrelationship between the teacher and student roles and discuss implications for the implementation of PBL at the primary education level. [ABSTRACT FROM PUBLISHER]

The aim of this study is to uncover the emergence of cultural mathematical understandings and communications in young children's spontaneous pretend play. It is based on Vygotskian cultural-historical perspectives and social-semiotic theory, informed by research into ‘funds of knowledge' and considers how children's informal knowledge of family practices enriches their play and cultural mathematical understandings. Longitudinal, ethnographic data were gathered in an inner-city mainstream nursery in the south-west of England. Data include written observation and graphics of seven children aged three to four years of age engaged in social pretend play. The findings reveal that many play episodes included aspects of mathematics and that these increased through the year: they show how the children's home cultural knowledge underpinned their pretend play and informed their mathematics. The children's graphicacy to communicate mathematics within their pretend play was also evident. The findings show also that where children are immersed in mathematical- and graphical-rich environments, bridging home and early childhood cultures becomes a natural feature of their pretend play. They will add to our understanding of cultural mathematical knowledge in young children. [ABSTRACT FROM PUBLISHER]

Background: Number sense is a key topic in mathematics education, and the identification of children’s misconceptions about number is, therefore, important. Information about students’ serious misconceptions can be quite significant for teachers, allowing them to change their teaching plans to help children overcome these misconceptions. In science education, interest in children’s alternative conceptions has led to the development of three- and four-tier tests that not only assess children’s understandings and misconceptions, but also examine children’s confidence in their responses. However, there are few such tests related to mathematical content, especially in studies of number sense. Purpose: The purpose of this study was to investigate children’s performance and misconceptions with respect to number sense via a four-tier diagnostic test (Answer Tier → Confidence rating for Answer Tier → Reason Tier → Confidence rating for Reason Tier). Design and method: A total of 195 fifth graders (10–11 years old) from Taiwan participated in this study. The four-tier test was web-based and contained 40 items across five components of number sense. Findings: The results show that (1) students’ mean confidence rating for the answer tier was significantly higher than for the reason tier; (2) an average of 68% of students tended to have equal confidence ratings in both answer and reason tiers; (3) students who chose correct answers or reasons had higher mean confidence ratings in most items (36 out of 40) than those who did not; and (4) 16 misconceptions were identified and most of them were at a strong level. Conclusion: The four-tier test was able to identify several misconceptions in both the answer and reason tier and provide information about the confidence levels. By using such information, teachers may be better positioned to understand the nature of learners’ misconceptions about number sense and therefore support their pupils’ progress in mathematics. [ABSTRACT FROM PUBLISHER]

The article discusses a meeting of the organization the Joint Mathematical Council of the UK (JMC) on November 5, 2013. According to the article, the meeting marked the 50th anniversary of the organization. The article states that the meeting was chaired by scholar Sir Peter Williams and that several presentations were made by scholars including professor Sir Bryan Thwaites, JMC Executive Sally Barton, and professor Margaret Brown.

The rowing stroke is a leg-driven action, in which forces developed by the lower limbs provide a large proportion of power delivered to the oars. In terms of both performance and injury, it is important to initiate each stroke with powerful and symmetrical loading of the foot stretchers. The aims of this study were to assess the reliability of foot force measured by footplates developed for the Concept2 indoor ergometer and to examine the magnitude and symmetry of bilateral foot forces in different groups of rowers. Five heavyweight female scullers, six heavyweight female sweep rowers, and six lightweight male (LWM) rowers performed an incremental step test on the Concept2 ergometer. Vertical, horizontal, and resultant forces were recorded bilaterally, and asymmetries were quantified using the absolute symmetry index. Foot force was measured with high consistency (coefficient of multiple determination>0.976 ± 0.010). Relative resultant, vertical, and horizontal forces were largest in LWM rowers, whilst average foot forces significantly increased across stroke rates for all three groups of rowers. Asymmetries ranged from 5.3% for average resultant force to 28.9% for timing of peak vertical force. Asymmetries were not sensitive to stroke rate or rowing group, however, large inter-subject variability in asymmetries was evident. [ABSTRACT FROM PUBLISHER]

In Malta, mathematics is often taught through code-switching between Maltese and English, mainly due to the use of textbooks published in the UK. The mixing of the languages has been a source of discussion for several years, with some educators accepting the mixed pattern, and others arguing in favour of using English alone. Furthermore, the possibility of using Maltese itself as the language for mathematics has also been mentioned, for both spoken and written modes. In this article, I discuss a potentially standardised Maltese mathematics register and reflect on the choice of the classroom language in terms of the implications of the choice on the use and development of ‘mathematical language’. I illustrate various routes how one might move from informal to formal language, depending on which language/s is or are being used in the classroom. I hence invite educators to consider the language debate not only in terms of medium of instruction issues, but also in terms of the implications on the use and development of mathematical language. [ABSTRACT FROM PUBLISHER]

This study uses audio-recordings of naturally occurring classroom discussions to examine how adult numeracy students drew on their informal knowledge as they worked together to solve mathematical problems. Analysis of the recordings not only reveals the knowledge which the participating students contributed to their discussions, but also illuminates how they responded to, and appeared to value, each other's contributions. Although students were found frequently to share knowledge about curricular and examination requirements, they rarely shared knowledge about out-of-classroom numeracy practices, even when their learning activities gave them opportunities to do so. Drawing on Bourdieu's notions of habitus and field, it is suggested that students' reluctance to draw on their out-of-classroom practices is due to the historically constituted values which they themselves place on different types of knowledge. A typology of conformative and disruptive knowledge contributions is proposed, which attempts to reconcile transformative ideals with the constraints of the contemporary classroom. [ABSTRACT FROM AUTHOR]

Background: The United Kingdom Clinical Aptitude Test (UKCAT) is designed to increase diversity and fairness in selection to study medicine. Aim: The aim of this study is to determine if differences in: access to support and advice, in modes of preparation, type of school/college attended, level of achievement in mathematics, gender and age influence candidate performance in the UKCAT and thereby unfairly advantage some candidates over others. Methods: Confidential, self-completed, on-line questionnaire of applicants to study on an undergraduate medical degree course who had taken the UKCAT in 2010. Results: Differentials in access to support and advice, in modes of preparation, type of school/college attended, in level of achievement in mathematics, gender and age were found to be associated with candidate performance in the UKCAT. Conclusion: The findings imply that the UKCAT may disadvantage some candidate groups. This inequity would likely be improved if tutors and career advisors in schools and colleges were more informed about the UKCAT and able to offer appropriate advice on preparation for the test. [ABSTRACT FROM AUTHOR]

Tkachev on uneven bars is a release and re-grasp skill performed using variations of preparatory longswing techniques; the reasons why different techniques are chosen remains unclear. This study examined kinematic and key release parameters specific to three distinct techniques with the aim of understanding the relative benefits of each. During two international artistic gymnastics competitions six arch, straddle and pike longswings preceding the straddle Tkachev were recorded using twin video cameras. Calibration and movement images were digitised and reconstructed using 3D DLT. Shoulder and hip angular kinematics, angular momentum and key release parameters were compared between techniques. In the arch longswing, the first and second hip functional phases began significantly earlier than the straddle or pike. No significant differences were established for release parameters although large effect sizes for horizontal release velocity and angular momenta about the mass centre and bar were reported between the arch and other two variants. Therefore, the arch variant may provide the opportunity to develop more complex combinations following the Tkachev. Providing insight into mechanical advantages of specific longswing techniques, and highlighting those that elicit desirable characteristics offers the potential to provide coaches with objective data on technique selection and ultimately skill development. [ABSTRACT FROM AUTHOR]

Over five decades, researchers have reported that deaf children lag behind their hearing peers on different educational measures. This review aims to synthesize the information on the nature and extent of this delay. A systematic search of the literature comparing deaf and hearing children's performance in mathematics was carried out. Of the 23 relevant articles, 13 employed standardized measures and 10 used un-standardized measures. The analysis demonstrates that, for children whose level of hearing loss is greater than moderate, there is a delay in mathematics in comparison with hearing children. This delay is noted in all assessments with standardized measures. Three studies (about 30%) that used un-standardized measures reported no delay; in these studies the children did not have to use conventional mathematical signs in order to solve the tasks. This may indicate that deaf children's number representation is not impaired but their learning of conventional mathematical signs is delayed. An attempt was made to quantify the level of delay, but the findings must be interpreted with caution due to possible confounding in the studies, some related to the sample (inclusion and exclusion criteria) and others related to the lack of controls (comparisons with only chronologically age-matched controls when general intelligence should have been controlled for). [ABSTRACT FROM AUTHOR]

This article examines the mathematical abilities of 15-year-olds in a range of countries which participated in the 2003 cycle of the Organization for Economic Cooperation and Development (OCED)'s Programme for International Student Assessment (PISA). Utilizing information on the scores obtained by individual students in the mathematical part of the PISA assessment, we use a range of indicators from the literature on inequality and poverty to evaluate the 'mathematical performance' of participating countries. Since data from PISA contained a wealth of information on the circumstances of the students in terms of their home and school environment, we identify and examine the relative influence of factors which serve to enhance the mathematical performance of students in the PISA assessment. [ABSTRACT FROM AUTHOR]

The article highlights several British Society for the History of Mathematics (BHSM) meetings. The British Mathematics Colloquium was held in York, England from March 25-28, 2008. The 50th British Applied Mathematics Colloquium was held at the University of Manchester from March 31-April 3, 2008. A meeting on the history of financial mathematics was held at Gresham College on April 25, 2008.

This article considers the role John Playfair (1748-1819) played in creating and popularizing the myth that mathematical development halted in Great Britain in the eighteenth century due to mathematicians' irrational attachment to a geometrical approach to the calculus. By the turn of the nineteenth century, Playfair had established his reputation as an energetic teacher, gifted expositor, and skilled natural philosopher. He served as joint professor of mathematics at the University of Edinburgh and as general secretary of the Royal Society of Edinburgh, editing the Society's Transactions, while his written accomplishments included Elements of geometry (1795) and Illustrations of the Huttonian theory of the earth (1802). He then contributed his talents to the opinionated journal, Edinburgh Review, where his assessments of the contemporary state of mathematics reached a wide audience of intellectuals, gentlemen, and merchants, albeit anonymously. The article expands upon a section of a talk delivered to the Fourth Joint Meeting of the BSHM and CSHPM in Montreal, 27-29 July 2007 (see also Ackerberg-Hastings 2007). [ABSTRACT FROM AUTHOR]

This study examines the mental computation strategies used by pupils at the end of primary school. In 1998 a new strategy for teaching mathematics was introduced into British schools (the National Numeracy Strategy) that specifically focused on mental calculation. The first part of the study took place in 1999, one year after the implementation of the National Numeracy Strategy. These results were compared with those obtained in 2005, six years later. The study shows that the National Numeracy Strategy has improved pupils' performance both mentally and when given the option to use written working. But some discrepancies deserve further study; for example, the greater use of the 'rounding and adjusting; method for subtraction than for addition. [ABSTRACT FROM AUTHOR]

The introduction of the National Numeracy Strategy (NNS) in England in September 1999 represented a very significant attempt to change the way mathematics was taught in primary schools. In Wales, where the NNS does not apply, an alternative strategy required Local Education Authorities (LEAs), in consultation with their schools, to develop locally based numeracy initiatives. This article presents and discusses results from a comparative study of the way in which headteachers viewed these contrasting attempts to raise standards of numeracy and their perception of the way in which the initiatives impacted upon pupils, teachers and teaching approaches. Whilst the data presented within the article may be of particular interest to policy makers and practitioners in England and Wales there would also appear to be some messages for those who may be concerned with similar large-scale reform efforts elsewhere. [ABSTRACT FROM AUTHOR]

This article cautions on OECD's recent educational survey or the PISA survey. The OECD's international survey of 15-year-olds' educational attainments carried out in Spring 2001 aroused surprise and even astonishment in Great Britain when its results were published because the new OECD survey put the pupils among the world's top performers in mathematics. Questions in the new PISA survey, were deliberately not directed to curricular techniques, but to the more difficult issues of the candidate's ability to choose appropriate techniques and apply them to authentic skills for life problems, making it much more difficult for teachers to know what to do in order to improve pupils' capabilities.

Recent curriculum reforms have led to a wider variety of methods of assessment in formal 'high stakes' assessment regimes in many countries. Morgan's study of mathematics coursework assessment in UK schools identified a number of positions adopted by teachers as they assessed student texts. Using Bernstein's theoretical framework, we revisit Morgan's study in order to construct a model for understanding teachers' assessment practices and positionings. The model consists of opposing forms, generated by modelling agencies, agents, practices and specialised forms of communication, to identify their principles of construction, displayed as changes in the strength of boundary. This helps to distinguish practices of assessment as different modalities of regulation, and to understand the tensions within and between discourses and practices. Thus, for example, by interpreting tensions between discourses of 'mathematical investigation' and of 'assessment' in terms of the contradictory demands made by different modes of pedagogic practice, we can reveal the social assumptions of the pedagogic discourse. [ABSTRACT FROM AUTHOR]

Explores the development and assessment of safety and security use of computer systems in Great Britain. Assessment of security in the finance sector; Evaluation of assessment practices; Use of mathematical proof in designing a program.

The article describes meetings concerning the organization the British Society for the History of Mathematics (BSHM) including a "History of Computing in Three Parts" at Gresham College in London, England, on October 31, 2013, "A Chance Encounter': A talk by scholar Richard Simpson about 17th century mathematics" in Manchester, England, on November 12, 2013, and the BSHM Christmas meeting at the Birmingham and Midland Institute on December 7, 2013.

The article focuses on research projects that are carried out in England, and are aimed at assessing the scope of numeracy in professional nursing practice. It reports on the project titled "Medication Dosage Calculation: A Benchmark Assessment for Nursing," and mentions its goal to develop a computer-based benchmark assessment model for medicine calculation in the nursing field. It also discusses the evaluation of teaching and learning numeracy in nursing programmes by an another study titled "Numeracy for nursing," and highlights the preliminary difficulties faced during the study.