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This concluding chapter invites educators to pause and reflect deeply on the interconnections between critical reflection, effective teaching, and personal wellbeing. It challenges teachers to view classroom leadership as a practice built on self-awareness, relational responsiveness, and thoughtful decision-making. Central to this interconnectedness is the ability to manage workload, set clear priorities, and self-regulate. These elements form a foundation for teaching that is effective and sustainable over time. Through this lens, wellbeing is not treated as separate from pedagogy or professionalism; rather, it directly shapes how teachers lead with empathy, uphold integrity, and make purposeful choices. By exploring how wellbeing, emotional regulation, and reflection shape the capacity to lead and connect, this chapter encourages teachers to consider how personal and professional growth are closely linked.
Classical methods such as ordinary least squares (OLS) were designed for datasets with just a handful of predictors. However, the trend over the last 30 years or so has been towards larger datasets, in particular where the number of predictors may be large even compared with the number of observations --- so-called high-dimensional data. In such settings, it may be advantageous to consider penalised estimators that reduce variance, at the expense of introducing some bias. We study both ridge regression and Lasso estimators, with the latter having the attractive property that it performs simultaneous variable selection and parameter estimation. The Lasso can be computed efficiently using coordinate descent, and we present finite-sample guarantees on its prediction, estimation and variable selection performance. We also consider extensions such as the square-root Lasso, the debiased Lasso and complementary pairs stability selection.
This chapter opens with an ethnographic account of Tunisian civic trainers preparing for the 2014 parliamentary elections, focusing on their efforts to teach the public the practices and sensibilities of democratic citizenship. Their diverse visions of democracy – shaped by the lived experience of the 2011 revolution – introduce the Tunisian public sphere as both a site of civic education and a space where revolution and democracy intersect. These perspectives ground the book’s two central arguments: first, that democracy can be redefined through a historically informed critique of liberalism’s limitations and affordances; and second, that such a redefinition requires attention to localized experiences, challenging the dominant view of revolution and democracy as a linear progression from disorder to order. The chapter also introduces the book’s main figures and theoretical interventions and outlines its structure: a movement from state-sanctioned and international pedagogies of public deliberation to more intimate and contested democratic expressions.
This chapter examines the lexicons of texts in Early Modern English from the 1520s through the 1560s: the turbulent decades spanning the English Reformation. On the one hand are works that look to the world of Catholic Christendom, such as books by the politician, philosopher, propagandist, and martyr Sir Thomas More and – later in the century – the polemical texts written by Jesuit exiles. On the other are outputs by reformers such as William Tyndale – also a martyr – and of later Protestant controversialists. Among the latter group is a royal figure whose writings have in recent years attracted increasing attention: Henry VIII’s last queen, Katherine Parr. The chapter begins with an examination of versions of a key work of the English Reformation: the Book of Common Prayer. Protestant and Catholic lexicons are identified, and shown to align with distinct confessional/theological orientations.
Dublin referred to the Second World War as the Emergency, but, when applied to the minorities, even this concise and elegant understatement deserves a question mark, partly because for many Éire citizens the war was a time of opportunities and partly because their response to the war was largely a matter of individual choice. The chapter first discusses aspects of the ‘pro-fascism’ allegedly shared by the Protestant middle classes at the beginning of the war and then moves to the way the war encouraged a rethinking of British values as universal liberal principles. It contrasts such lofty rhetoric with the response of the Loyal Orange Institute in the three Ulster counties of Éire, suggesting that the turn to democracy owed more to tactical choices than conviction politics. What turned out to be permanent, however, was a tendency to articulate minority issues as either Irish concerns or universal claims. A parallel development took place within the Dublin Jewish community from the end of 1944, as the ‘old acquaintance’ with Britain was rapidly forgotten, and Zionism emerged as – simultaneously – more Irish and more self-confidently aligned with the nascent Israeli state.
In addition to their usage in density estimation and nonparametric regression, 'kernel methods' also refer to a different concept, where the goal is to augment a feature space and thereby extend the scope of certain existing prediction techniques. The basic idea is to map our observations into a higher-dimensional space and then apply a simple (e.g. linear) method to the transformed data; in the context of regression, for instance, this can yield a nonlinear regression surface that may fit the responses better. For a certain rather large class of methods, namely those whose fitted values depend on inner products between observations, a key point is that this general procedure can often be carried out implicitly, and in ways that ensure the cost of the computations involved is independent of the dimension of the final feature space. The underlying theory relies on a particular type of Hilbert space structure known as a reproducing kernel Hilbert space. Some of the most well-known examples of kernel machines include support vector machines and kernel ridge regression, though the class of methods to which the ideas here may be applied is very broad.
Beyond the War challenges war-centered interpretations of one ot the twentieth century’s most publicized armed conflict by recontructing the largely overlooked history of the Falkland/Malvinas Islands before 1982. Whereas most scholarship treats the Islands’ past and aftermath as chapters in a bilateral sovereignty dispute between Argentina and the United Kingdom, this book shifts the focus to the complex and evolving relationships between islanders—mostly of British origin—and Argentines in the four decades preceding the war. It traces how mutual ignorance shaped these relations until the 1960s, and how political, economic, and diplomatic changes gradually transformed them. The book examines the Islands’ structural vulnerabilities, Argentina’s claims following the 1965 UN resolution, and the controversial actions of Argentine nationalists, while reconstructing the impact of the 1971 Communications Agreement both in the Islands and in the mainland. It also explores how ordinary Argentines perceived the Malvinas by analyzing popular culture. Ultimately, the book argues that war was not inevitable, revealing moments of collaboration and exchange that made alternative futures conceivable.
This chapter introduces network analysis as an emerging approach in health research, providing tools to study the structure and dynamics of relationships between individuals, groups, or variables. It explains key concepts such as nodes, edges, centrality, and network density, and demonstrates how these measures capture the complexity of social, biological, or informational systems. Applications in epidemiology include modelling infectious disease transmission, understanding health behaviours, and identifying influential individuals or groups for interventions. Network analysis also supports systems-level understanding of comorbidities, genetic pathways, and healthcare delivery. Strengths of the method include its ability to visualise complex relationships, identify patterns not visible through traditional approaches, and generate novel insights into mechanisms of health and disease. Limitations include the need for high-quality relational data, complex analytical techniques, and challenges in interpretation. The chapter also highlights software tools and visualisation methods that make network analysis more accessible to researchers. Practical examples illustrate its use in mapping HIV transmission networks and analysing patterns of collaboration in healthcare teams. This chapter maps to syllabus section 3.2.13, which encourages knowledge of newer approaches including network and systems analysis.
Manin’s program, initiated in [FMT89] and [BM90], provides a way to understand the asymptotic formula for the counting function of rational points on a Fano variety, and this program leads to Manin’s conjecture, which was further revised in a series of papers [Pey95], [BT98b], [Pey03], [Pey17], [LST22], and [LS24]. In this chapter, we discuss the formulation of Manin’s conjecture and examples that have been verified in the literature. In Manin’s conjecture it is important to remove the contribution of the exceptional set so that the asymptotic formula of the counting function reflects the global geometry of a projective variety.
Chapter 3: Out of the Rabbit Hole. The scenes on the Berlin Foundry Cup illustrate activities in a workshop during the joining and finishing of statues and reveal the nature of the now-lost aboveground spaces of an ancient foundry. The scenes confirm use of the indirect lost-wax process in the early fifth century BC. The simultaneous production of two statues of different stylistic types, one archaic and the other classical, is a reminder that one style did not supplant another. Votives behind a furnace ward off the dangers of working with molten metal, although the conventionally naked participants in the scenes overlook that risk. Workshop practices were designed to suit specific commissions – a purple bruise in the cheek of a boxer, a colossus, the materials used for inlaid eyes. From normal procedures in a modern workshop to Benvenuto Cellini’s Renaissance description of tackling immediate problems, we see how little materials and procedures have changed since antiquity.