Modes of reasoning in explanations in Australian eighth-grade mathematics textbooks

Understanding that mathematics is founded on reasoning and is not just a collection of rules to apply is an important message to convey to students. Here we examined the reasoning presented in seven topics in nine Australian eighth-grade textbooks. Focusing on explanatory text that introduced new mathematical rules or relationships, we classified explanations according to the mode of reasoning used. Seven modes were identified, making a classification scheme which both refined and extended previous schemes. Most textbooks provided explanations for most topics rather than presenting “rules without reasons” but the main purpose appeared to be rule derivation or justification in preparation for practise exercises, rather than using explanations as thinking tools. Textbooks generally did not distinguish between the legitimacies of deductive and other modes of reasoning.     

Prior degree and student assessment performance: how can evidence guide decisions on assessment policy?

This study aimed to provide evidence to guide decisions on the type and timing of assessments in a graduate medical programme, by identifying whether students from particular degree backgrounds face greater difficulty in satisfying the current assessment requirements. We examined the performance rank of students in three types of assessments and also calculated the relative risk of failure in the summative assessments for four cohorts over all four years of a four‐year graduate medical programme. Our findings suggest that early summative assessment may disadvantage the very students who create the diversity that the faculty values, particularly if methods such as Single Best Answer questions are used, unless students are provided with additional support in bridging their knowledge gap. Use of assessment methods such as Modified Essay Questions and Objective Structured Clinical Examinations appears to be more justifiable on educational grounds.     

Higher education institutions’ costs and efficiency: Taking the decomposition a further step

A multiproduct cost function is estimated for English higher education institutions using a panel of data from recent years. The panel approach allows estimation by means of a random parameter stochastic frontier model which provides considerable new insights in that it allows the impact on costs of inter-institutional differences in the cost function itself to be distinguished from inter-institutional differences in efficiency. The approach used here therefore resembles in some respects the non-parametric methods of efficiency evaluation. We report also on measures of average incremental cost of provision and on returns to scale and scope.     

Teachers’ Use of Scaffolding Strategies During Read Alouds in the Preschool Classroom

Relatively little is known regarding preschool teachers’ use of specific scaffolds, including those high support scaffolds (e.g., co-participating, eliciting, reducing choices) that may be important for children who are struggling to acquire language and literacy concepts. The goal of this study was to characterize preschool teachers’ use of six types of scaffolds (generalizing, reasoning, predicting, co-participating, reducing choices, eliciting; see O’Connor et al. in Ladders to literacy, Paul H. Brookes Publishing, Baltimore, MD, 2005) within the whole group read aloud session. Two specific questions were addressed: (1) To what extent do preschool teachers use high and low support scaffolds during whole group read aloud sessions? and (2) To what extent does preschool teachers’ perceived frequency of use of specific scaffolds correspond to their actual use of scaffolds? Videotaped classroom observations were carried out for five preschool teachers conducting whole group read alouds in their classrooms; frequency of use for six types of scaffolds was coded using systematic observation procedures. Results indicated that teachers showed a preference for three types of scaffolds, all of which were low support, and that the three types of high support scaffolds occurred at very low rates. Additionally, results showed a substantial discrepancy between teachers’ perceived frequency of use of specific types of scaffolds relative to their actual use. Together, findings suggest that preschool teachers may benefit from professional development focused on using a range of scaffolds, to include high support scaffolds beneficial to children who may need high levels of support to participate in read alouds.     

Loneliness,friendship quality and the social networks of adolescents with high‐functioning autism in an inclusive school setting

By definition, children with autism have poor peer relationships despite age and ability. When children enter adolescence, social problems typically worsen and feelings of loneliness and isolation may emerge. Thus, the overarching goal of the current study is to examine the social–emotional relationships of adolescents with autism and their typically developing (TD) classmates. Participants included 20 adolescents, 7 adolescents with autism and 13 TD classmates. All participants were enrolled in a drama class at a regular education high school in the Los Angeles area. Results indicate that adolescents with autism experienced significantly more loneliness than their TD classmates, had significantly poorer friendship quality in companionship and helpfulness, and had significantly lower social network status than their TD classmates. In addition, 92.4% of TD adolescents had secondary or nuclear social network centrality, which means that those adolescents were significantly connected and recognised in their classroom social structure although 71.4% of the adolescents with autism were either isolated or peripheral in their classroom. These findings imply that although inclusion in regular classrooms may allow adolescents with autism to be involved in the social structure of their classroom, they experienced more loneliness, poorer friendship quality and social network status as compared with their classmates. These results suggest that, perhaps, more intensive social skills' interventions that focus on friendship development are needed in adolescents with autism.     

Governing indigenous recreation at a distance: a critical analysis of an after school active health intervention

Within the Canadian context, the physical activity levels of children and youth in the after school time period has become a source of public health concern. We argue that this concern is informed by broader public health crises, in particular the ‘global obesity epidemic’ and the closely related ‘global pandemic of physical inactivity', and that these so-called ‘crises’ operate as part of a discursive regime that serves to justify after school interventions aimed at increasing the physical activity practices of children and youth. Although the objectives of such interventions are seemingly well intentioned, we suggest that such interventions nonetheless harbor difficult to discern, but potentially pernicious consequences, for the communities in which they are implemented. We focus our attention on the place-specific effects of one Public Health Agency of Canada-funded after school physical activity intervention – After the School Bell Rings (ASBR) – that was implemented in the mostly Indigenous, northern community of Placid, Manitoba. Based on a critical analysis of the ASBR program itself, along with interviews and focus groups with children, parents and recreation providers (n?=?10) from the community of Placid, we contend that the ASBR serves to govern Indigenous recreation at a distance. We argue that when implemented in the place-specific context of Placid, the ASBR functions as part of a broader governmental assemblage composed of loosely connected discourses, institutions, socio-structural conditions and individuals that, when assembled, ultimately serve to govern geographically and culturally distinct communities. We conclude by suggesting that the objectives of broad-based health interventions, such as the goal of increasing after school physical activity levels, should not be universally implemented across diverse locales, but need to account for the diverse, place-specific priorities and needs of the communities into which they are implemented.     

“You have to do something beyond containing”: developing inclusive systems in a partnership of primary schools

Reducing fixed term exclusions (FTE) in primary schools is a difficult proposition. This research discusses how a partnership of primary schools developed more inclusive systems to support students previously given FTEs for disciplinary purposes. Longitudinal data from interviews and documentary sources trace the development of an approach amongst primary schools with previously high levels of FTE. The process of developing a model of transferred inclusion (TI) within the partnership led to schools changing practices around behaviour management, thus developing more inclusive systems. The paper elaborates on partnership work around the TI project that opened up discussion and questioning of practice around behaviour, leading to schools thinking about their systemic practice. The benefits of TI, therefore, were a prompt for development, rather than just an intervention to reduce exclusions. Changes in practice supported through the TI process lead to claims that substantive change would not have happened without the TI project.     

The effects of work:rest duration on physiological and perceptual responses during intermittent exercise and performance

Abstract

In this study, we examined the effects of different work:rest durations during 20 min intermittent treadmill running and subsequent performance. Nine males (mean age 25.8 years, s = 6.8; body mass 73.9 kg, s = 8.8; stature 1.75 m, s = 0.05; [Vdot]O_2max 55.5 ml · kg^?1 · min^?1, s = 5.8) undertook repeated sprints at 120% of the speed at which [Vdot]O_2max was attained interspersed with passive recovery. The work:rest ratio was constant (1:1.5) with trials involving either short (6:9 s) or long (24:36 s) work:rest exercise protocols (total exercise time 8 min). Each trial was followed by a performance run to volitional exhaustion at the same running speed. Testing order was randomized and counterbalanced. Heart rate, oxygen consumption, respiratory exchange ratio, and blood glucose were similar between trials (P > 0.05). Blood lactate concentration was greater during the long than the short exercise protocol (P < 0.05), whereas blood pH was lower during the long than the short exercise protocol (7.28, s = 0.11 and 7.30, s = 0.03 at 20 min, respectively; P < 0.05). Perceptions of effort were greater throughout exercise for the long than the short exercise protocol (16.6, s = 1.4 and 15.1, s = 1.6 at 20 min, respectively; P < 0.05) and correlated with blood lactate (r = 0.43) and bicarbonate concentrations (r = ?0.59; P < 0.05). Although blood lactate concentration at 20 min was related to performance time (r = ?0.56; P < 0.05), no differences were observed between trials for time to exhaustion (short exercise protocol: 95.8 s, s = 30.0; long exercise protocol: 92.0 s, s = 37.1) or physiological responses at exhaustion (P > 0.05). Our results demonstrate that 20 min of intermittent exercise involving a long work:rest duration elicits greater metabolic and perceptual strain than intermittent exercise undertaken with a short work:rest duration but does not affect subsequent run time to exhaustion.     

Aerobic exercise and type a behaviour

The Type A behaviour pattern is a well‐documented, if controversial, risk factor for coronary heart disease. Surprisingly, relatively little work has been reported on ways of modifying this behaviour pattern. Aerobic exercise, with its demonstrated benefits for both cardiovascular reactivity and psychological ‘well‐being’, is a promising treatment. The literature is reviewed and recommendations are made for practical applications and future research.     

Knowledge,education and research: Making common cause across communities of practice

This article considers how knowledge, education and research interact as the institutional structures that support them change. Many efforts at large‐scale education reform depend upon the proposition that what counts as useful knowledge can be easily defined, without reference to the specific contexts in which that knowledge will be set to work. Yet ?useful knowledge’ as it appears to policymakers does not always translate into ?useful knowledge’ from the perspective of practitioners. Distance and context matter. Based on studies of the development of literacy policy in England under successive governments, the paper assesses the dislocations and divisions of labour that characterise the contemporary knowledge landscape and asks how the research community can continue to act for the common good in an increasingly crowded and contested education field.