A water wave model with horizontal circulation and accurate dispersion

We describe a new water wave model which is variational, and combines a depth-averaged vertical (component of) vorticity with depth-dependent potential flow. The model facilitates the further restriction of the vertical profile of the velocity potential to n-th order polynomials or a finite element profile with a small number of elements (say), leading to a framework for efficient modelling of the interaction of steepening and breaking waves near the shore with a large-scale horizontal flow. The equations are derived from a constrained variational formulation which leads to conservation laws for energy, mass, momentum and vertical vorticity (or circulation). We show that the potential flow water wave equations and the shallow-water equations are recovered in the relevant limits, and provide approximate shock relations for the model which can be used in numerical schemes to model breaking waves

Demonstrating the potential of text mining for analyzing school inspection reports: a sentiment analysis of 17,000 Ofsted documents

Many national education systems incorporate a central inspectorate tasked with visiting, evaluating and reporting on the performance of schools. The judgements produced by inspectors often play a part in the way that schools are held to account and constitute an important source of data in their own right. Inspection reports are therefore of great interest to researchers. However, the sheer quantity of inspection reports produced by national school inspectorates creates challenges for analysts. We demonstrate the use of text mining – automated processing and analysis of unstructured textual data – to analyse the complete corpus of school inspection reports released by the English national schools inspectorate since the turn of the century. More precisely, we report the results of a sentiment analysis, comparing the tone of inspection reports across the different grades awarded in each inspection and across different Chief Inspectors. In doing so, we hope to demonstrate the efficiency with which text mining approaches can provide representative analysis of very large volumes of inspection reports, making them a useful complement to smaller-scale, manual analyses. Resources and references are provided for researchers looking to use text mining techniques

Using Social Network Analysis to gain insight into social creativity while designing digital mathematics books

Analysing the processes and products of creativity to better understand and support individuals and teams, is a difficult and elusive challenge despite years of research in creativity. In this article, we are particularly interested in social creativity in communities of interest. Building on Guilford's classic model of Divergent Thinking of fluency, flexibility, originality and elaboration, we employ Social Network Analysis to model the creative design process. The creative process in the current study takes place in a technological environment called the ‘MC-squared platform’, in which members of a community of interest collaborate in a social, co-creative process for designing digital, mathematical textbooks. Both the technological environment and the methodology are exemplified through two case examples, one on the design process of a digital book about a bioclimatic amusement park and one on the design process of a digital book about fractions. We conclude that, for these examples, both the technological tool and the data analysis approach provide insight into the social creativity process of the community of interest

Are some school inspectors more lenient than others?

School inspections are a common feature of education systems across the world. These involve trained professionals visiting schools and reaching judgements about the quality of education they provide. Yet there is currently little academic research investigating the consistency of school inspections, including how judgements vary across inspectors with different characteristics. We present new empirical evidence on this matter, drawing upon data from more than 30,000 school inspections conducted in England between 2011 and 2019. Male inspectors are found to award slightly more lenient judgements to primary schools than their female counterparts, while permanent Office for Standards in Education, Children’s Services and Skills (Ofsted) employees (Her Majesty’s Inspectors) are found to be harsher than those who inspect schools on a freelance basis (Ofsted Inspectors)

Variational water-wave model with accurate dispersion and vertical vorticity

A new water-wave model has been derived which is based on variational techniques and combines a depth-averaged vertical (component of) vorticity with depth-dependent potential flow. The model facilitates the further restriction of the vertical profile of the velocity potential to n-th order polynomials or a finite-element profile with a small number of elements (say), leading to a framework for efficient modeling of the interaction of steepening and breaking waves near the shore with a large-scale horizontal flow. The equations are derived from a constrained variational formulation which leads to conservation laws for energy, mass, momentum and vertical vorticity. It is shown that the potential-flow water-wave equations and the shallow-water equations are recovered in the relevant limits. Approximate shock relations are provided, which can be used in numerical schemes to model breaking waves

The serine protease hepsin mediates urinary secretion and polymerisation of Zona Pellucida domain protein uromodulin.

Uromodulin is the most abundant protein in the urine. It is exclusively produced by renal epithelial cells and it plays key roles in kidney function and disease. Uromodulin mainly exerts its function as an extracellular matrix whose assembly depends on a conserved, specific proteolytic cleavage leading to conformational activation of a Zona Pellucida (ZP) polymerisation domain. Through a comprehensive approach, including extensive characterisation of uromodulin processing in cellular models and in specific knock-out mice, we demonstrate that the membrane-bound serine protease hepsin is the enzyme responsible for the physiological cleavage of uromodulin. Our findings define a key aspect of uromodulin biology and identify the first in vivo substrate of hepsin. The identification of hepsin as the first protease involved in the release of a ZP domain protein is likely relevant for other members of this protein family, including several extracellular proteins, as egg coat proteins and inner ear tectorins

“UNIFIED”: bridging the researcher–practitioner divide in mind, brain, and education

Mind, Brain, and Education (MBE) science is by definition transdisciplinary. However, the communication and collaboration between constituent disciplines needed for true transdisciplinarity remains relatively rare. Consequently, many of the potential benefits of MBE science remain unrealized for parties on all sides of the discipline. The present commentary first conducts an analysis of the current strengths, weaknesses, opportunities, and threats of transdisciplinary partnerships in MBE. A new, free, and international web platform (“UNIFIED”) is then proposed to broker relationships between researchers and teachers within schools. This website would allow users to form collaborations based on a system of tags indexing their research interests as well as practicalities such as their location. Such a website appears well placed to realize many of the opportunities, and mitigate the threats and weaknesses, of transdisciplinary MBE research. The article concludes with an appeal to interested researchers and schools to contribute to the development of the project