‘Warrant’ revisited: Integrating mathematics teachers’ pedagogical and epistemological considerations into Toulmin’s model for argumentation

In this paper, we propose an approach to analysing teacher arguments that takes into account field dependence—namely, in Toulmin’s sense, the dependence of warrants deployed in an argument on the field of activity to which the argument relates. Freeman, to circumvent issues that emerge when we attempt to determine the field(s) that an argument relates to, proposed a classification of warrants (a priori, empirical, institutional and evaluative). Our approach to analysing teacher arguments proposes an adaptation of Freeman’s classification that distinguishes between: epistemological and pedagogical a priori warrants, professional and personal empirical warrants, epistemological and curricular institutional warrants, and evaluative warrants. Our proposition emerged from analyses conducted in the course of a written response and interview study that engages secondary mathematics teachers with classroom scenarios from the mathematical areas of analysis and algebra. The scenarios are hypothetical, grounded on seminal learning and teaching issues, and likely to occur in actual practice. To illustrate our proposed approach to analysing teacher arguments here, we draw on the data we collected through the use of one such scenario, the Tangent Task. We demonstrate how teacher arguments, not analysed for their mathematical accuracy only, can be reconsidered, arguably more productively, in the light of other teacher considerations and priorities: pedagogical, curricular, professional and personal.     

Students’ reproduction and transformation of norms incorporated into a programme for social and emotional learning

The present ethnographic study aims to explore how students reproduce and make use of a programme for social and emotional learning to create their own moral orders and routines for interaction in their local school context. The study demonstrates that the students made use of routines and norms conveyed by the programme to negatively position and exclude peers as well as to reproduce discourses of ‘blaming the victim’. The results highlight the inappropriateness of implementing a programme that strips emotions and behaviours of their meaning and that fails to situate emotions within students’ actual social and cultural contexts. The study demonstrates how such an approach relocates the responsibility for dealing with socially and culturally situated problems to the individual and denies teachers the opportunity to respond to problematic situations that give rise to emotions of anger and that emerge in social and cultural contexts at school.     

Children’s Self‐documentation and Understanding of the Concepts ‘Healthy’ and ‘Unhealthy’

The present paper describes a study in which 13 children aged 9–11 years, of diverse ethnic, linguistic, and socio‐economic backgrounds, were asked to use a digital camera and small notebook to document the range of things they consider to be healthy and unhealthy. Using open‐ended interview questions, the children were then asked to explain each item, including what it was, why they chose it, and why they thought it was either healthy or unhealthy. The range of definitions of ‘healthy’ and ‘unhealthy’ invoked by the children was surprisingly broad, encompassing not only illness and proper nutrition, but also environmental health, mental health, cleanliness, and other meanings. Findings across all 13 children are displayed, and a case study of one child serves as a detailed example of the types of meanings children ascribe to the words ‘healthy’ and ‘unhealthy’, as well as the kinds of analyses being employed on these data. The theoretical implications of these results for research on children’s ideas about health, as well as implications for the design of health interventions, are discussed.     

‘It's good for their self-esteem’: the substance beneath the label

This paper provides an informed and critical understanding of the concept of self-esteem. It explores this psychological construct in relation to its use in adventure education and outdoor learning. Enhancing a participant's self-esteem is perceived to be fundamentally a good thing and is culturally linked to the Hahnian notion that implies outdoor education is good for character-building and more recently personal development. This paper suggests that the improvement of self-esteem has become a reified programme outcome as well as an argument for the value and importance of outdoor education programmes. In this paper I seek to address the often uncritical and at times evangelical claim that outdoor programmes enhance self-esteem. This paper looks at the development of self-esteem generally and then considers its appearance in the outdoor education literature. Aspects of this that relate to outdoor learning and adventure education include: development of the self, behaviour, disaffected young people, recent UK developments and common misconceptions regarding self-esteem. These are explored and their implications for practice and research are considered. The essence of this paper is that outdoor educators need to be more critical, informed and specific about exactly what it is they are trying to achieve, how their programmes are evaluated, particularly with outcomes that are related to potential changes in ‘self’ and how these changes are measured.     

‘Seeing’ into the past and ‘looking’ forward to the future: visual methods and gender and education research

A small number of attempts have been made to take stock of the field of gender and education, though very few have taken methodology as their explicit focus. We seek to stimulate such discussion in this article by taking stock of the use of visual methods in gender and education research (particularly participatory and image-based methods). We undertake this exercise by looking at the claims researchers have made about the ways in which visual methods have advanced gender and education research, and by examining how these methods have been employed in research. We argue that the visual has become somewhat invisible in accounts of gender and education research. We conclude by considering different ways in which we might develop image-based research in the future.     

Emotional and psychological well-being in children: the development and validation of the Stirling Children’s Well-being Scale

The Stirling Children’s Well-being Scale (SCWBS) was developed by the Stirling Council Educational Psychology Service (UK) as a holistic, positively worded measure of emotional and psychological well-being in children aged eight to 15 years. Drawing on current theories of well-being and Positive Psychology, the aim was to provide a means of measuring the effectiveness of interventions and projects designed to promote children’s well-being and emotional development.

A total of 18 schools and 1849 children participated in the construction and validation of the scale, which ultimately emerged as a short, robust measure comprising 12 items. The scale is offered for use by educational and health professionals interested in promoting and measuring the emotional development and well-being of children and the effectiveness of interventions.     

Dutch children and their ‘God’: the development of the ‘God’ concept among indigenous and immigrant children in the Netherlands

In the 1980s and 1990s in the Netherlands, as a reaction to the growing number of non‐Christian pupils at Christian schools, religious education and religious development became issues for debate. At some schools, it was the exclusiveness of the Christian tradition that dominated, and at others it was the inclusiveness. Another group specialised in inter‐religious dialogue. Our research studied the religious development of pupils from two primary schools. One is the first and only inter‐religious primary school in the Netherlands, the Juliana van Stolberg primary school. The other is a Christian school, the Prinses Margriet primary school that educates pupils exclusively in the Christian tradition. The research questions focussed on the development of the ‘God’ concept of children confronted with stories from different religious traditions. The ‘God’ concept is seen in our research as a concept that develops in an inductive way from the data. This way of conceptualising ‘development’ is coined as the prospective perspective on development. The results of this comparative research led to the tentative conclusion that pupils in our research population who were involved in inter‐religious learning, demonstrate explorative behaviour concerning their own religion and that of others. Their ‘God’ concept shows hybrid characteristics. These pupils are rooted in their own tradition, and at the same time they are ‘on the move’. This offers points of departure for the development of citizens articulating their commitments and turning imminent conflicts into inter‐religious encounters.     

‘I can sort of slot into many different roles’: examining teacher aide roles and their implications for practice

This study utilised role theory to investigate teacher aide roles within regional schools in Queensland, Australia. Twenty primary schoolteacher aides were interviewed; data were triangulated with 27 teacher aides' responses to a follow-up questionnaire and interviews with 6 administrative staff. Data suggest that classroom instructional support roles and small group instruction dominate teacher aide work; they also perform many non-instructional roles and work individually with students with diverse needs. School leaders must reconsider the roles expected of these professionals given their position, professional training and remuneration, better supporting teacher aides through improved communication, collaboration and sustained professional learning opportunities.     

How does homework ‘work’ for young children? Children’s accounts of homework in their everyday lives

Homework is an increasing yet under-researched part of young children’s everyday lives. Framed by the international agendas of starting strong and school accountability, homework in the lives of young children has been either overlooked or considered from the perspective of adults rather than from the perspective of children themselves. This paper redresses this situation by reporting on an Australian study of 120 young children, aged four to eight years, where homework emerges as a key part of their everyday lives. Children’s own accounts of their everyday decision-making, using audio-taped conversations and concurrent paper-based timeline activities, show homework as accomplishing the institutional purposes of the school, while affording the children opportunities to demonstrate their competence in operating in an adult-generated education regime.     

‘Talent circulators’ in Shanghai: return migrants and their strategies for success

This paper argues for a flexible identity and citizenship framework to explore how return migrants, haigui, have readapted and re-established themselves back into Shanghai society, and how they have used their talents, knowledge and guanxi networks to optimise their chances of success. It argues that these return migrants, as talent circulators in their circulatory migration process, have adopted a flexible identity and citizenship, to confront their conflicting emotions and negotiated sacrifices for the well-being of their individual self and family as they expand their socio-economic and territorial space.     

Thought-Experiments About Gravity in the History of Science and in Research into Children’s Thinking

This article examines the main strands of thinking about gravity through the ages and the continuity of thought-experiments, from the early Greeks, through medieval times, to Galileo, Newton and Einstein. The key ideas are used to contextualise an empirical study of 247 children’s ideas about falling objects carried out in China and New Zealand, including the use of scenarios involving thrown and dropped items, and objects falling down deep well holes (as in Carroll’s Alice in Wonderland). The sample included 68 pre-school pupils, 68 primary school pupils, 56 middle school students, and 55 high school students; with approximately equal numbers in each group and of boys and girls in each group in each culture. The methodology utilised Piagetian interviews with three media (verbal language, drawing, and play-dough), a shadow stick; and everyday items including model people and soft model animals. The data from each group was categorised and analysed with Kolmogorov–Smirnov Two-Sample Tests and Spearman r _s coefficients. It was hypothesised and confirmed (at K–S alpha levels .05; r _s : p < .001) that cross-age and cross-cultural research and analysis would reveal that (a) an intuitive sense of gravity is present from an early age and develops in association with concepts like Earth shape and motion; (b) the development of concepts of gravity is similar in cultures such as China and New Zealand where teachers hold a scientific world view; and (c) children’s concepts of Earth motion, Earth shape, and gravity are coherent rather than fragmented. It was also demonstrated that multi-media interviews together with concrete experiences and thought-experiments afforded children the opportunity to share their emerging concepts of gravity. The findings provide information that teachers might use for lessons at an appropriate level.     

Teacher training for secondary education and graduates’ entrance into the teaching profession

This study focuses on the relationship between teacher education and graduates’ intended and actual entrance into teaching. Moreover, it explores how this relationship differs for two types of initial teacher training for secondary education. A hypothetical model of graduates’ entrance into the teaching profession comprising empirically grounded variables was developed. Besides teacher education related variables, other factors (e.g., motivation and labour market) were included. Data for this study were based on a sample of 370 graduates qualified for teaching in secondary education. Logistic regression analysis indicates that intention to enter teaching, preparedness for teaching, employment opportunities and type of teacher training explain 43% of the variance in actual entrance into teaching. Furthermore, path analysis was applied to test the hypothetical pattern of (inter)relationships between the variables. Results are largely consistent across the two types of teacher training showing a small, although statistically significant, contribution of teacher education above other antecedents of graduates’ intention to enter teaching.     

Insights into the value of a ‘stand‐alone’ course for sustainability education

Education for sustainability (EfS) is emerging as an urgent imperative and challenge for higher education. But what exactly does it mean to put sustainability into higher education? How do we bring sustainability themes into university curriculum, across the enormous diversity of academic disciplines? This paper describes the experience of teaching a large ‘stand‐alone’ EfS subject which sits within the professional contexts of the large first‐year cohort undertaking it. We describe the themes, architecture and approach to sustainability education taken in this course and evaluate the learning and assessment activities offered to students. We conclude with reflections on the student experience and feedback, which suggests that while academics build towards a deeply embedded sustainability ethic in higher education, specialist parallel courses have a valuable role to play in the transition to sustainable futures.     

Children’s strategies for division by fractions in the context of the area of a rectangle

This study investigated how children tackled a task on division by fractions, and how they formulated numerical algorithms from their strategies. The task assigned to the students was to find the length of a rectangle given its area and width. The investigation was carried out as follows: First, the strategies invented by eight 10- or 11-year-old students, all identified as capable and having positive attitudes towards mathematics, were categorised. Second, the formulation of numerical algorithms from the strategies constructed by nine students with similar abilities and attitudes towards mathematics was investigated. The participants developed three types of strategies (making the width equal to 1, making the area equal to 1, and changing both area and width to natural numbers) and showed the possibility of formulating numerical algorithms for division by fractions referring to their strategies.     

Exploring the ‘digital disconnect’ between net‐savvy students and their schools

Educational commentators have long feared a ‘digital disconnection’ between emerging generations of technology‐rich students accustomed to high levels of Internet use and their technology‐poor schools. Yet few studies have empirically examined the existence and potential implications of such a disconnect from the students' perspective. The present paper replicates Levin and Arafeh's (2002 Levin, D. and Arafeh, S. 2002. The digital disconnect: the widening gap between internet‐savvy students and their schools, Washington, DC: Pew Internet & American Life Project.  [Google Scholar]) US study which solicited online stories from students detailing how they used the Internet for school. Responses from 84 UK secondary school students show that just over half felt restricted in their Internet use at school. Unlike the original US study, the primary disconnect between UK Internet‐using students and their schools was not one of physical access but the restriction of their Internet use through school rules and content filters, firewalls and other technologies of control. Whilst some students displayed frustration and disenchantment, most gave measured and sometimes sympathetic views of their schools' less‐than‐perfect information technology provision. As such, many of our students were well aware of a digital disconnect but displayed a pragmatic acceptance rather than the outright alienation from school that some commentators would suggest.     

Children’s cognitive ability and their academic achievement: the mediation effects of parental expectations

It is generally accepted that cognitive ability predicts academic achievement, and that parental involvement and expectations form part of the constellation of factors that predict their children??s academic achievement, particularly for families within the Chinese-heritage Cultures. Although a number of interactions between these parental factors have been proposed, the mediation effects of parental expectations on their children??s cognitive ability in predicting academic achievement are yet to be established. Data from 780 students from one primary school in Hong Kong and their parents were used to generate structural equation models to test the hypothesis that parental affective factors, as indicated by parental home and school involvement, parental beliefs of their children??s ability and parental expectations of their children??s academic scores, mediate the effects of student IQ score in predicting school achievement in English, Chinese and Mathematics. The results support the hypothesis that parents help their children to actualize their cognitive ability by directly communicating their academic expectations to their children.     

‘Children of the street’: sexual citizenship and the unprotected lives of Ghanaian street youth

Youth-sensitive policies are gradually gaining recognition in Africa. The release of the recent publication Children in Ghana by the Ministry of Women and Children's Affairs (MOWAC) and UNICEF-Ghana attests to the value the country places on young people's perspectives. Guided by Richardson's conceptual framework on sexual citizenship, this paper draws on four sets of focus group discussions, informal conversations and interviews with 24 young people aged between 14 and 19 (seven young men and 17 young women), all of whom were living on the streets of a city in Ghana. It shows how young people navigate sexuality in a context of poverty and in an era of HIV/AIDS. It argues that the young women's demonstration of a sense of agency, evident in the midst of violence and insecurity, contradicts the notion of childhood sexual innocence. These experiences challenge the view that human rights and sex education are sufficient strategies to address young people's transitions to a safe adulthood within impoverished contexts.