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 MPEES Journal: 1997–2006

The articles published in the Measurement in Physical Education and Exercise Science (MPEES) journal over the first 10 volumes were categorized by content area and methodology. The authors have offered opinions here concerning the changes observed over the 10-year period, the areas that are well-represented, and other potential areas of research that were not included. The purpose and intent of the journal has been to publish measurement research in areas related to physical education and exercise science. Although the content areas included in the journal have broadened over the years, the original purpose of the journal has remained the same.     

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.     

Creating a space where teachers can locate their voices and develop their pedagogical awareness

The claim is made here that we need to prepare teachers who can locate their voices in teaching situations, recognize their relationship with other voices in those situations, and reflect on their pedagogical intentions. In a teacher education course, stories written about practicum experiences offered students an opportunity to reflect on the location of their voice in classroom situations and to discuss with peers different classroom situations and possibilities for teaching and learning. This study examines more closely the reflections of two of the students with seemingly distinct orientations to learning to teach. Their practicum stories and reflective essays were analyzed for positioning of voice as described by Belenky et al. (1986). The two students located their voices in distinct ways, and also expressed growing awareness of classroom dynamics and the value of peer dialogue in broadening and deepening their understandings of teaching and learning.     

‘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.     

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