What are the fundamental concepts of group theory?

This paper offers a critical analysis of Dubinsky et al. (1994) and proposes, as an alternative to the four axioms and the standard definitions, that permutation and symmetry may be regarded as the fundamental concepts of group theory.     

Embedded Mathematics Remediation Using The Math You Need,When You Need It: A 21st‐Century Solution to an Age‐Old Problem

Using the need for math skills in geoscience courses as an example, Helen E. Burn and Eric M. D. Baer from Highline Community College and Jennifer M. Wenner from the University of Wisconsin Oshkosh make the case for just‐in‐time embedded remediation to improve student learning while using class time efficiently.     

The role of school-based research champions in a school–university partnership

The value of teachers’ engagement in and with research is long recognised and it is acknowledged that school–university research partnerships are one way of enabling such engagement. But we know little about how research-based knowledge is negotiated into school practices. Here we draw on data from nine ‘research champions’, who are teachers in schools which are part of the Oxford Education Deanery, a research partnership with a university department. Taking a cultural/historical approach, the study examined the strategic intentions and actions in the activities of the champions as they negotiated research-based knowledge into their schools. Data comprised 59 completed templates that described what they did and why. Findings revealed differences between those with close links with senior leaders—who could take a whole-school approach—and those whose reach was restricted by their position in school practices. Nonetheless, all the champions carefully selected and targeted research in ways that reflected their knowledge of local contexts. The findings point to the need to incorporate the champion role into school systems and for universities to value the role as they develop their own research agenda.     

Creativity through a rhetorical lens: implications for schooling,literacy and media education

This article, which is speculative in outlook and emerges from an extended literature review on this subject, takes as its basic premise the notion that the idea of ‘creativity’– whether in relation to literacy, schooling or the economy, is constructed as a series of rhetorical claims. These rhetorics of creativity emerge from the contexts of research, theory, policy and practice. Initially, we distinguish 10 rhetorics, which are described in relation to the philosophical or political traditions from which they spring. The discussion then focuses on four rhetorics – play, technology, politics/democracy and the creative classroom – which have most relevance for understandings of literacies and the way in which these are nurtured, encouraged and expressed in different social settings. This article aims to summarise the rhetorics and their major concerns, while considering how selected ones might apply to an instance of media literacy. Key questions addressed in this article ask whether creativity is more usefully understood as an internal cognitive function or an external cultural phenomenon; whether it is a ubiquitous human activity or a special faculty; whether it is necessarily ‘pro‐social’ or should be dissident; and what the implications of a culturalist social psychological approach to creativity might be for analyses of the media literacy of children and young people.     

Stories of the three-legged stool: English, media, drama, from critique to production

The three authors have, between them, extensive experience of teaching English, Drama and Media, as well as teaching teachers in these fields. The article explores the implications of the apparently straightforward proposition that these three related domains, whose histories are so closely entangled, should enjoy parity. The proposition is explored with reference to the historical constitution of these elements of what we currently know as ‘English’; and to three vignettes illustrating work in schools which productively confuses the three domains.     

'The Rush of Images': a Research Report into Digital Editing and the Moving Image

This article is an interim report on a small action research project being carried out by a group of teachers into digital editing. The authors focus on a critical evaluation of a ‘conceptual framework’ for editing digitised moving images, devised as part of the research project. The body of the article is concerned with observations of students carrying out editing, with the framework being used to structure the observations.