Bridging History of the Concept of Function with Learning of Mathematics: Students’ Meta-Discursive Rules,Concept Formation and Historical Awareness

In this paper we present a matrix-organised implementation of an experimental course in the history of the concept of a function. The course was implemented in a Danish high school. One of the aims was to bridge history of mathematics with the teaching and learning of mathematics. The course was designed using the theoretical frameworks of a multiple perspective approach to history, Sfard’s theory of thinking as communicating, and theories from mathematics education about concept image, concept definition and concept formation. It will be explained how history and extracts of original sources by Euler from 1748 and Dirichlet from 1837 were used to (1) reveal students’ meta-discursive rules in mathematics and make them objects of students’ reflections, (2) support students’ learning of the concept of a function, and (3) develop students’ historical awareness. The results show that it is possible to diagnose (some) of students’ meta-discursive rules, that some of the students acted according to meta-discursive rules that coincide with Euler’s from the 1700s, and that reading a part of a text by Dirichlet from 1837 created obstacles for the students that can be referenced to differences in meta-discursive rules. The experiment revealed that many of the students have a concept image that was in accordance with Euler’s rather than with our modern concept definition and that they have process oriented thinking about functions. The students’ historical awareness was developed through the course with respect to actors’ influence on the formation of mathematical concepts and the notions of internal and external driving forces in the historical development of mathematics.     

International large-scale assessments: what uses,what consequences?

Abstract

Background: International large-scale assessments (ILSAs) are a much-debated phenomenon in education. Increasingly, their outcomes attract considerable media attention and influence educational policies in many jurisdictions worldwide. The relevance, uses and consequences of these assessments are often the focus of research scrutiny. Whilst some argue that the assessment outcomes provide an effective basis for informed policy-making, critics claim that the use of international assessment data can result in a range of unintended consequences, such as the shaping and governing of school systems ‘by numbers’.

Purpose: This article explores and analyses the arguments about the uses and consequences of ILSAs. In particular, the discourse about the assessments’ consequential validity will be discussed and evaluated.

Sources of evidence: Literature relating to the uses and consequences of large-scale assessment was analysed, with a focus on research on the consequential aspects of validity.

Main argument: Much research suggests that ILSAs have unintended consequences that affect and influence educational policy. However, the influences on educational policy are complex and interwoven: for example, it is not clear-cut whether effects such as converging curricular are, necessarily, direct consequences of large-scale assessments. Further, it is suggested that a beneficial consequence of large-scale assessment is the infrastructure they provide for studies in the social sciences, although caution must be applied to causal claims, in particular because of the cross-sectional design of the assessments.

Conclusions: The considerable literature discussing the uses and consequences of large-scale assessments tends to point out potential negative aspects of the studies. However, it is also apparent that large-scale international assessments can be a valuable resource for studying global trends and evolving systems in education. Despite the extensive debates around large-scale assessment outcomes both in the media and in educational policy arenas, empirical educational research all too often appears underused in the discussion.     

Effects of modified-implement training on fast bowling in cricket

The effects of training with overweight and underweight cricket balls on fast-bowling speed and accuracy were investigated in senior club cricket bowlers randomly assigned to either a traditional (n = 9) or modified-implement training (n = 7) group. Both groups performed bowling training three times a week for 10 weeks. The traditional training group bowled only regulation cricket balls (156 g), whereas the modified-implement training group bowled a combination of overweight (161-181 g), underweight (151-131 g) and regulation cricket balls. A radar gun measured the speed of 18 consecutive deliveries for each bowler before, during and after the training period. Video recordings of the deliveries were also analysed to determine bowling accuracy in terms of first-bounce distance from the stumps. Bowling speed, which was initially 108 +/- 5 km h(-1) (mean +/- standard deviation), increased in the modified-implement training group by 4.0 km x h(-1) and in the traditional training group by 1.3 km x h(-1) (difference, 2.7 km x h(-1); 90% confidence limits, 1.2 to 4.2 km x h(-1)). For a minimum worthwhile change of 5 km x h(-1), the chances that the true effect on bowling speed was practically beneficial/trivial/harmful were 1.0/99/< 0.1%. For bowling accuracy, the chances were 1/48/51%. This modified-implement training programme is not a useful training strategy for club cricketers.     

The “manifest destiny” of the performing arts by A. Peacock

Journal of Cultural Economics -     

Coaching performance and leadership behaviours in team sports

The aim of this study was to investigate coaching performance in team sports taking leadership behaviours into focus. To do so, coaching performance was put in a literature-based frame and analysed with reference to a task structure based on the idea of hierarchical planning. The focus of the paper is on a mixed methods multi-strand study using qualitative as well as quantitative threads to develop and verify a set of coaching strategies focussing on teambuilding and team leadership. Qualitative analyses showed that coaches do have a clear understanding of forming and leading a team, which could be shown by a specific set of strategies being used by high performance coaches from different team sports (basketball, football, handball, and volleyball). These strategies could be confirmed in a sequential quantitative study analysing coaches’ and players’ attitudes towards the previously analysed schemes. The results of this study are discussed in terms of methodical and practical implications.     

Adaptive progressive download based on the MPEG-4 file format

In this paper we describe how progressive download and adaptive streaming can be combined into a simple and efficient streaming framework. Based on the MPEG-4 file format (MP4) we use HTTP for transport and argue that these two components are sufficient for specifying an open streaming architecture. The client selects appropriate chunks from the MP4 file to be transferred based on (1) the header information (i.e. the "moov" box) in the first part of the file and (2) his observation of network throughput. The framework is completely client driven which allows for better server scalability and reduces signalling overhead. We discuss architecture and implementation issues such as complexity, interoperability and scalability and compare to 3GPP PSS Re1-6 adaptive streaming when appropriate. Measurements from a simple MP4/HTTP streaming client are presented showing that appropriate chunks are selected such that increased reliability is achieved.     

Adaptive progressive download based on the MPEG-4 file format

In this paper we describe how progressive download and adaptive streaming can be combined into a simple and efficient streaming framework. Based on the MPEG-4 file format (MP4) we use HTTP for transport and argue that these two components are sufficient for specifying an open streaming architecture. The client selects appropriate chunks from the MP4 file to be transferred based on (1) the header information (i.e. the “moov” box) in the first part of the file and (2) his observation of network throughput. The framework is completely client driven which allows for better server scalability and reduces signalling overhead. We discuss architecture and implementation issues such as complexity, interoperability and scalability and compare to 3GPP PSS Rel-6 adaptive streaming when appropriate. Measurements from a simple MP4/HTTP streaming client are presented showing that appropriate chunks are selected such that increased reliability is achieved.     

Authorship order

Considering the fact that authorship order plays such a significant role as a basis for scientific merit, this paper looks into the practices of authorship order from a research ethical perspective. We conclude that there is a wide variety of practices and no common understanding of what the different authorship positions signify. Authorship guidelines do not provide much help. We recognize that, regardless of what system for valuing authorship positions is used, it will be misleading and unfair in most applications because relative contributions vary in ways that are not captured by fixed value assignments to authorship positions. In theory, assigning percentage figures reflecting the relative contributions of the authors would solve that problem, but we argue that such a scheme is not likely to work in practice. It can also be questioned whether relative, rather than absolute, contributions should be the basis for scientific merit. Contributorship is discussed as an alternative, but is recognized to be insufficient both in communicating absolute and relative contributions, as standardly used. However, there may be a way forward with contributorship, but then, the level of detail needs to increase considerably and its application be standardized.     

Social Justice in Sport and Exercise Psychology: A Position Statement

ABSTRACT

There are varied approaches that have been used in sport for development (SFD) projects. This article is focused on the move by sport and exercise psychology researchers toward community-based SFD projects where marginalized groups are centralized. The authors have chosen two of their projects to exemplify different approaches to SFD. An initial project with an Aboriginal community is critically examined to reveal cultural missteps that perpetuated cultural colonization–something antithetical to community capacity building. The second project is then considered because of its closer alignment with cultural praxis and community capacity building. This second project focuses on the initial developments of a YMCA physical activity project designed to meet the needs of forced immigrants (a self-titled name developed by the refugee community members) and the staff who work with them. We culminate with five postulates proposed for SFD project teams derived from our vantage in sport and exercise psychology, where community engagement and eventual self-governance are imperatives.     

Regulation and deregulation in education policy: new reforms and school sports in Swedish upper secondary education

During the 1990s, neoliberal reforms in Sweden increased local school actors' possibilities to develop school profiles regarding both organization and content. This restructuring has increased the total number of school sports programs as well as the possibilities for upper secondary schools and sports clubs to develop elite and amateur sports on a local level. In a new educational reform, the Swedish Government criticizes parts of the Swedish school sports system. The Government believes that the majority of local school sports programs and courses obstruct the maintenance of national equivalence, that upper secondary schools use school sports to attract pupils for economic reasons and that some pupils involved in school sports may fail to reach the academic or vocational goals of regular upper secondary education. Using critical discourse analysis, the present paper illustrates how educational policies are linked to wider symbolic meaning systems in an attempt to legitimize, define and organize upper secondary schools and to characterize pupils as either eligible or ineligible to participate in school sports. The analyses are based on various types of empirical data: policy documents, official letters from the sports movement on the government bill and in-depth interviews. The results indicate that the reform represents a shift in the policy rhetoric: from a normative rhetoric highlighting pupils' social and emotional reasons for choosing school sports, to a rational rhetoric emphasizing efficiency, standardization and regulation of pupils' educational choices. Using school sports as an example, the paper shows how the main aim of the reform—to raise educational standards and maintain national equivalence—is achieved through social differentiation, meaning that pupils with the right performance indicators are selected for participation in programs to which they are suited.