Students’ fraction comparison strategies as a window into robust understanding and possible pointers for instruction

As part of individual interviews incorporating whole number and rational number tasks, 323 grade 6 children in Victoria, Australia were asked to nominate the larger of two fractions for eight pairs, giving reasons for their choice. All tasks were expected to be undertaken mentally. The relative difficulty of the pairs was found to be close to that predicted, with the exception of fractions with the same numerators and different denominators, which proved surprisingly difficult. Students who demonstrated the greatest success were likely to use benchmark (transitive) and residual thinking. It is hypothesised that the methods of these successful students could form the basis of instructional approaches which may yield the kind of connected understanding promoted in various curriculum documents and required for the development of proportional reasoning in later years.     

Using possible-selves theory to understand the identity development of new teachers

Questions about identity and future success often occupy the thinking of individuals during life transitions. Possible-selves theory describes how future-oriented thought provides identity-relevant information and motivation to pursue self-relevant goals. Expected and feared possible selves of beginning teachers (n = 221) were analyzed revealing four main categories (i.e., interpersonal relationships, classroom management, instruction, and professionalism). Differences between student and beginning inservice teachers suggest a transitional trajectory that could have implications for understanding the “how” of teacher identity development. Possible-selves theory may help bring a degree of unity across divergent frameworks and help link identity to broader issues of teacher development.     

The uses of (digital) literacy

This article shares research facilitated by a multinational technology provider, converging mobile networked technology (tablets) used across school and home, a technology enhanced community ‘third space’ providing workshops for students aged 6–9 with their parents/carers. The approach taken avoids the instrumental measurement of functional digital literacy competences, but instead seeks to negotiate a more nuanced and complex understanding of the ‘uses of literacy’ [from Hoggart, R. 1957. The Uses of Literacy. London: Pelican] in digital contexts and in a deeply situated, specific local setting. Working with our findings, we later put Amartya Sen’s concept of capability [Sen, A. K. 2005. “Human Rights and Capabilities.” Journal of Human Development 6 (2): 151–166; Sen, A. K. 2008. “Capability and Well-Being.” In The Philosophy of Economics, edited by D. M. Hausman, 3rd ed., 270–293. Cambridge: Cambridge University Press] to work on our data in order to provide a discussion on how the digital literacy community might distinguish digital competences as functionings from the ‘uses’ of such competences for a broader range of capabilities.     

Dietary supplements

For the athlete training hard, nutritional supplements are often seen as promoting adaptations to training, allowing more consistent and intensive training by promoting recovery between training sessions, reducing interruptions to training because of illness or injury, and enhancing competitive performance. Surveys show that the prevalence of supplement use is widespread among sportsmen and women, but the use of few of these products is supported by a sound research base and some may even be harmful to the athlete. Special sports foods, including energy bars and sports drinks, have a real role to play, and some protein supplements and meal replacements may also be useful in some circumstances. Where there is a demonstrated deficiency of an essential nutrient, an increased intake from food or from supplementation may help, but many athletes ignore the need for caution in supplement use and take supplements in doses that are not necessary or may even be harmful. Some supplements do offer the prospect of improved performance; these include creatine, caffeine, bicarbonate and, perhaps, a very few others. There is no evidence that prohormones such as androstenedione are effective in enhancing muscle mass or strength, and these prohormones may result in negative health consequences, as well as positive drug tests. Contamination of supplements that may cause an athlete to fail a doping test is widespread.     

Characteristics of the start in women's World Cup skeleton

This study characterizes key elements of the start in elite female World Cup skeleton athletes. The top 20 female competitors in three World Cup races were videotaped within a calibrated space to allow the following components of the start to be quantified: (1) acceleration (velocity at 15-m mark, time to 15-m mark), (2) capacity (time to load, total number of steps to load), and (3) load (velocity at 45-m mark). A correlation analysis was used to establish the relationship between the variables of interest and overall start time (15- to 65-m mark). Velocity at the 15-m mark accounted for 86% of the variance in overall start time at St. Moritz and 85% at Sigulda. A stepwise regression analysis revealed that approximately 89% of the variation in start time could be explained by velocity at the 15-m mark, time to load, and velocity at the 45-m mark. Of the variables analysed in this study, rapid acceleration to attain a high velocity at the 15-m mark was the most important component of a fast overall start time. The importance of the time to load and velocity at the 45-m mark vary according to the different track characteristics.     

The Emotionally Affected University Student: support from the university community

The study measured the general attitudes towards disability of academics, administrative staff, and students in a small rural University. Respondents were also asked to comment on the nature of support that might be provided for a student with an emotional disability. There were some significant differences in level and nature of support for students with an emotional disability among academics, administrative staff, and students. These differences were related to the levels of comfort with, and sympathy felt towards, students with an emotional disability. However, overall the results suggest that university students with expressed emotional difficulties are liable to be relatively negatively regarded and are not liable to receive much concrete assistance for the difficulties they face. It is proposed that the data supports the notion that academics, of all the groups measured, are best placed to decide types of support for students with an emotional disability on a case by case basis.     

Evaluating metacognitive scaffolding in Guided Invention Activities

Invention and Productive Failure activities ask students to generate methods that capture the important properties of some given data (e.g., uncertainty) before being taught the expert solution. Invention and Productive Failure activities are a class of scientific inquiry activities in that students create, implement, and evaluate mathematical models based on data. Yet, lacking sufficient inquiry skills, students often do not actualize the full potential of these activities. We identified key invention strategies in which students often fail to engage: exploratory analysis, peer interaction, self-explanation, and evaluation. A classroom study with 134 students evaluated the effect of supporting these skills on the quality and outcomes of the invention process. Students in the Unguided Invention condition received conventional Invention Activities; students in the Guided Invention condition received complementary metacognitive scaffolding. Students were asked to invent methods for calculating uncertainties in best-fitting lines. Guided Invention students invented methods that included more conceptual features and ranked the given datasets more accurately, although the quality of their mathematical expressions was not improved. At the process level, Guided Invention students revised their methods more frequently and had more and better instances of unprompted self-explanations even on components of the activity that were not supported by the metacognitive scaffolding. Classroom observations are used to demonstrate the effect of the scaffolding on students’ learning behaviours. These results suggest that process guidance in the form of metacognitive scaffolding augments the inherent benefits of Invention Activities and can lead to gains at both domain and inquiry levels.