The interface between mathematics and design and technology in secondary schools

ABSTRACT

This article suggests that there are important connections between design and technology and mathematics curricula and that these are not fully made in the United Kingdom National Curriculum. Using three examples, the authors show how there are real opportunities in design and technology teaching for incorporating mathematical learning, but that all too often these are lost because they are not made explicit. Again, the authors argue that too much mathematics teaching is dominated by abstract investigation rather than practical problem‐solving. They conclude by suggesting that teaching should transcend subject boundaries and be concerned with real‐life situations.     

The developmental and professional activities of female international soccer players from five high-performing nations

ABSTRACT

We study the developmental and professional activities engaged in by 86 female adult soccer players from the senior national teams of Australia, Canada, England, Sweden, and the United States of America. Players completed the Participation History Questionnaire (PHQ) to elicit the amount and type of activities engaged in across their developmental and professional years, including milestones, soccer-specific activity and engagement in other sport activity. Greater specialisation than diversification characterised their childhood developmental activities, including all players starting in soccer in childhood and accumulating more hours in soccer activity than other sports during this period. However, interindividual variation further characterised these childhood activities, with a proportion of players diversifying into other sports and/or soccer play to a greater or lesser degree during childhood when compared to the other players. The amount of coach-led soccer practice increased for all players across their development culminating in an average of 15–16 h/wk across a 40-week season in early adulthood. In contrast, the amount of engagement in other sports and soccer peer-led play varied between players but generally decreased across adolescence to negligible amounts in late adolescence. Findings are commensurate with the deliberate practice framework and early engagement.     

The Empirical Attitude, Material Practice and Design Activities

This article is an argument about something that is both important and severely underemphasized in most current science curricula. The empirical attitude, fundamental to science since Galileo, is a habit of mind that motivates an active search for feedback on our ideas from the material world. Although more simple views of science manifest the empirical attitude through relation of theories to data, we describe more recent philosophical scholarship that characterizes the relation of theories to data through phenomena (regularities in nature’s behavior that can be identified and characterized through data). This view highlights the centrality of material practice, in which scientists design data collection events to inform phenomena. Thus manifestation of the empirical attitude in science is characterized as a design endeavor that involves considerably sophisticated coordination among theories, phenomena, data, and data collection events. If we want students to learn how to participate in such work, curricula should break down these complex processes into more basic components at least at the outset. Our recommendation is to begin with design activities that can focus on the empirical attitude initially without the complex coordination with phenomena and data. We present an example of such an activity and share results that suggest design activities can target the empirical attitude and be built upon in curricula to gradually include coordination with phenomena and theories.     

Examining the potential of critical and Kaupapa Māori approaches to leading education reform in New Zealand’s English-medium secondary schools

This paper discusses expectations, policies and practices that currently underpin education within the New Zealand context. It acknowledges the ongoing failure of this policy framework to positively influence reform for Indigenous Māori students in regular, state-funded schools and highlights the need for extensive change in the positioning and expectations of educators if Māori learners are to realize their true potential. The paper then considers leadership models to reimagine and lead a transformative educational reform that aims to include the aspirations and contributions of all members of the school’s communities, especially those who have historically been marginalized. Finally it considers the implications of this model for international application.     

The genetic and environmental covariation among psychopathic personality traits, and reactive and proactive aggression in childhood

The present study investigated the genetic and environmental covariance between psychopathic personality traits with reactive and proactive aggression in 9- to 10-year-old twins (N = 1,219). Psychopathic personality traits were assessed with the Child Psychopathy Scale (D. R. Lynam, 1997), while aggressive behaviors were assessed using the Reactive Proactive Questionnaire (A. Raine et al., 2006). Significant common genetic influences were found to be shared by psychopathic personality traits and aggressive behaviors using both caregiver (mainly mother) and child self-reports. Significant genetic and nonshared environmental influences specific to psychopathic personality traits and reactive and proactive aggression were also found, suggesting etiological independence among these phenotypes. Additionally, the genetic relation between psychopathic personality traits and aggression was significantly stronger for proactive than reactive aggression when using child self-reports.     

Does generating examples aid proof production?

Many mathematics education researchers have suggested that asking learners to generate examples of mathematical concepts is an effective way of learning about novel concepts. To date, however, this suggestion has limited empirical support. We asked undergraduate students to study a novel concept by either tackling example generation tasks or reading worked solutions to these tasks. Contrary to suggestions in the literature, we found no advantage for the example generation group on subsequent proof production tasks. From a second study, we found that undergraduate students overwhelmingly adopt a trial and error approach to example generation and suggest that different example generation strategies may result in different learning gains. We conclude by arguing that the teaching strategy of example generation is not yet understood well enough to be a viable pedagogical recommendation.     

Science and the major racket sports: a review

The major racket sports include badminton, squash, table tennis and tennis. The growth of sports science and the commercialization of racket sports in recent years have focused attention on improved performance and this has led to a more detailed study and understanding of all aspects of racket sports. The aim here, therefore, is to review recent developments of the application of science to racket sports. The scientific disciplines of sports physiology and nutrition, notational analysis, sports biomechanics, sports medicine, sports engineering, sports psychology and motor skills are briefly considered in turn. It is evident from these reviews that a great deal of scientific endeavour has been applied to racket sports, but this is variable across both the racket sports and the scientific disciplines. A scientific approach has helped to: implement training programmes to improve players' fitness; guide players in nutritional and psychological preparation for play; inform players of the strategy and tactics used by themselves and their opponents; provide insight into the technical performance of skills; understand the effect of equipment on play; and accelerate the recovery from racket-arm injuries. Racket sports have also posed a unique challenge to scientists and have provided vehicles for developing scientific methodology. Racket sports provide a good model for investigating the interplay between aerobic and anaerobic metabolism and the effect of nutrition, heat and fatigue on performance. They have driven the development of mathematical solutions for multi-segment interactions within the racket arm during the performance of shots, which have contributed to our understanding of the mechanisms of both performance and injury. They have provided a unique challenge to sports engineers in relation to equipment performance and interaction with the player. Racket sports have encouraged developments in notational analysis both in terms of analytical procedures and the conceptualization of strategy and tactics. Racket sports have provided a vehicle for investigating fast interceptive actions, hand-eye coordination and perception-action coupling in the field of motor control. In conclusion, science has contributed considerably to our knowledge and understanding of racket sports, and racket sports have contributed to science by providing unique challenges to researchers.