Middle School Teachers’ Use of Mathematics to Make Sense of Student Solutions to Proportional Reasoning Problems

Mathematics teacher education aims to improve teachers’ use of mathematical knowledge to support teaching and learning, an aspect of pedagogical content knowledge (PCK). In this study, we interviewed teachers to understand how they used mathematics to make sense of student solutions to proportional reasoning problems. The larger purpose was to find accurate ways of categorizing teachers’ ability to do this vital aspect of teaching and thereby to inform assessment, teacher education, and professional development. We conjectured that teachers’ PCK for proportional reasoning could be reliably described in terms of attention to quantitative meanings in story problem contexts and in terms of understanding naïve forms of proportional reasoning. Instead, our findings reveal that individual teachers used a variety of means to make sense of (1) cognitively similar student solutions to different tasks and (2) mathematically related steps of a student solution within a single task. These findings illustrate the complexity of PCK for the topic of proportional reasoning and suggest the limits of what can be inferred about teacher knowledge from teachers’ evaluations of student solutions. We discuss implications for teacher education and assessment.     

Body composition of English Premier League soccer players: Influence of playing position,international status,and ethnicity

Abstract

Body composition is a key consideration in the physical make-up of professional soccer players. The aims of the present study were to determine whether the body composition of professional soccer players varied according to playing position, international status or ethnicity, and to establish which variables best distinguished the soccer players from a reference group. Body composition was assessed using dual-energy X-ray absorptiometry in 64 male professional soccer players. Measured variables included bone mineral density and the relative amounts of lean and fat mass. Data were analysed using analysis of variance and stepwise discriminant function. The soccer players recorded better values than a reference group (n = 24) for all body composition compartments. Percent lean mass and bone mineral density were the variables best able to identify the soccer players (95.5% correctly classified). Differences in body composition were evident between goalkeepers and outfield players, but not between outfield playing positions. No differences were found on the basis of international status. The non-Caucasian players demonstrated significantly lower percent body fat (9.2 ± 2.0%) than the Caucasian players (10.7 ± 1.8%). It was concluded that body composition is important for elite soccer players, but that homogeneity between players at top professional clubs results in little variation between individuals.     

The Rise of Athletic Masculinity at the Carlisle Indian School, 1904–1913

Following the dismissal of Captain Richard Pratt from the position of superintendent in 1904, the Carlisle Indian School entered a new era. The school became more focused on vocational education and moved away from offering immediate civilisation to the students. The school even promoted Indian arts and crafts. This move was also reflected in sport at Carlisle. The school became determined to construct a successful athletic programme. This resulted in the rise of masculine gamesmanship among the athletes. This, combined with racial pride, formed the basis of the athletes' manhood in the post-Pratt era. Yet, despite the demonstration of superior masculinity through victories, the school still positioned the students as subordinate to white men. The players were portrayed as comparatively unintelligent; they were apparently incapable of actually coaching the team.     

Changes in academic research performance over time: A study of institutional accumulative advantage

This study examines changes in institutional research performance over time by analyzing data from four national surveys of the American professoriate conducted between 1969 and 1988. To assess whether groups of institutions may be accumulating advantage relative to others, research activities are compared across five Carnegie institution types. Weights are created to adjust for sampling differences and research output measures are standardized to adjust for variation by discipline. Findings show an overall strengthening of research emphasis reflected by a stronger orientation toward research (more faculty holding Ph.D.'s and having a primary interest in research) and higher research output (grant and publication performance). While Research-I universities have retained their initial (1969) advantage, they have not accumulated more. Meanwhile, Doctoral-Granting-I universities have gained strength relative to Research-II institutions. Research at Comprehensive-I was also up, but at a slower rate than the other Carnegie groups.     

Irish student teachers’ levels of moral reasoning: context,comparisons, and contributing influences

The moral role of the teacher has long been recognised and this has implications for the selection and education of student teachers. There is growing recognition of the importance of teachers’ capacity to make sound moral judgements and of the influence of teachers’ levels of moral reasoning on their professional practice. The paper presents the findings of a longitudinal study of 102 undergraduate student teachers who completed the DIT 2 measure of moral reasoning, at the beginning, mid-point and end of their four-year degree programme at an Irish university. While these students’ levels of moral reasoning were found to be higher than those of their international peers, more than half of graduating students were reasoning at the conventional level as defined by Kohlberg. These findings are located in the context of Irish education policy and practice. Some possible explanations for the students’ performance are suggested and discussed including their entry characteristics, the status of the teaching profession in Ireland, the nature of their teacher education programme and participation in the Transition Year option.     

Hearing Matters More Than Seeing: A Cross-Modality Study of Statistical Learning and Reading Ability

ABSTRACT

There is growing interest in the link between implicit statistical learning (SL) and reading ability. Although learning to read involves both auditory and visual modalities, it is not known whether reading skills might be more strongly associated with auditory SL or visual SL. Here we assessed SL across both modalities in 36 typically developing children and 36 healthy adults using the classic triplet-learning paradigm. Auditory SL was significantly associated with sentence reading fluency (Woodcock Johnson III Test of Achievement) in the combined sample of children and adults after controlling for age and nonverbal intelligence. In further analysis of the child data, auditory SL was significantly associated with nonword reading accuracy (Woodcock Reading Mastery Test), a relationship which appeared to be mediated by phonological processing abilities (Comprehensive Test of Phonological Processing). These findings suggest that auditory SL might contribute more strongly to certain aspects of reading development compared to visual SL.     

‘Is it like one of those infectious kind of things?’ The importance of educating young people about HPV and HPV vaccination at school

Abstract

The National Human Papillomavirus (HPV) Vaccination Program in Australia commenced in 2007 for girls and in 2013 for boys, using the quadrivalent HPV [4vHPV] vaccine. In Australia, students are primarily vaccinated en masse, on school grounds, after parental/guardian consent is obtained. Students most often receive little, or no, education at school about HPV or HPV vaccination prior to immunisation. There is also some uncertainty about where young people can and should obtain reliable information about the vaccine, outside of school. We conducted a cluster randomised controlled trial of a complex intervention in schools. This study aimed to improve: (1) student knowledge about HPV vaccination; (2) psycho-social outcomes and (3) vaccination uptake. In this paper, we briefly outline our educational intervention and discuss its implementation by educators including facilitators and barriers. We also discuss the study findings pertaining to student knowledge about HPV and HPV vaccination and their attitudes to vaccination across control and intervention schools. Study results showed students in intervention schools demonstrate greater knowledge and understanding of HPV and HPV vaccination. Greater knowledge and understanding of HPV and HPV vaccination appeared to promote positive attitudes towards vaccination and supported confidence with vaccination.