Curricular orientations to real-world contexts in mathematics

A common claim about mathematics education is that it should equip students to use mathematics in the ‘real world’. In this paper, we examine how relationships between mathematics education and the real world are materialised in the curriculum across a sample of eleven jurisdictions. In particular, we address the orientation of the curriculum towards application of mathematics, the ways that real-world contexts are positioned within the curriculum content, the ways in which different groups of students are expected to engage with real-world contexts, and the extent to which high-stakes assessments include real-world problem solving. The analysis reveals variation across jurisdictions and some lack of coherence between official orientations towards use of mathematics in the real world and the ways that this is materialised in the organisation of the content for students

Visualising Discourse Coherence in Non-Linear Documents

To produce coherent linear documents, Natural Language Generation systems have traditionally exploited the structuring role of textual discourse markers such as relational and referential phrases. These coherence markers of the traditional notion of text, however, do not work in non-linear documents: a new set of graphical devices is needed together with formation rules to govern their usage, supported by sound theoretical frameworks. If in linear documents graphical devices such as layout and formatting complement textual devices in the expression of discourse coherence, in non-linear documents they play a more important role. In this paper, we present our theoretical and empirical work in progress, which explores new possibilities for expressing coherence in the generation of hypertext documents

Leaving the mainstream behind? Uncovering subjective understandings of economics instructors' roles

In the wake of the economic crisis, a number of student organizations and researchers highlighted the lack of pluralism and heterodox approaches in economics curricula. The relevance of pluralism becomes clear once set within the implications of a given scientific discourse on reality (e.g. economics and policy making). This study explores the role of instructors in co-constructing the pluralism discourse and debates, while recognizing the role of institutional obstacles to change within the discipline. An empirical field study is conducted with lecturers in introductory economics courses at the WU Vienna University of Economics and Business where they place themselves within the pluralism discourse via a Q-study - a mixed method employed for studying subjectivity in socially contested topics. In Q, a set of statements undergo a sorting procedure on a relative ranking scale, followed by factor-rendering. Four voices are identified: Moderate Pluralist, Mainstreamers, Responsible Pluralists, and Applied Pluralists. The implications of their ideas are discussed from the viewpoint of discursive institutionalism, stressing the role of ideas and discourse in institutional change. Although a discursive readiness for changes towards more pluralism is claimed, strategies for overcoming the difficulties on the institutional level need to be developed

Digital culture, materiality and Nineteenth-Century studies

The rhetoric of the virtual stubbornly clings to digital culture, even though our experience of working within it is of a resisting medium that only behaves in certain ways. The persistence of the virtual demands attention: why do we cling to such a description even while we quite willingly recognise the interpenetration of the world beyond the monitor and that represented on it? In education we’re encouraged to use Virtual Learning Environments, as if somehow these spaces are not as real as classrooms; we participate (or read about others participating) in virtual worlds such as Second Life or World of Warcraft, places that imitate the real world, providing access to fantasies that are underpinned by very real economics; and we exploit the World Wide Web, believing in its textual metaphors (pages, hypertext) while ignoring its presence as a medium. In my contribution to this forum I want to suggest that our insistence on the immateriality of digital culture enforces an ontological distinction that overdetermines the materiality of the world beyond the monitor while misrecognizing the new things that are displayed upon it. Rather than continue to use the virtual as a category, I would like to argue using an alternative term, the apparition.1 Unlike the virtual, which foregrounds its effect of the real with reality itself present only as absence, apparition has two meanings: the first is an immaterial appearance, a ghostly presence that, like the virtual, can signal an absent materiality; the second is simply the appearance of something, specifically the emergence of something into history. It is this latter meaning, I suggest, that permits materiality to re-enter digital discourse

Reading in the Disciplines: The Challenges of Adolescent Literacy

A companion report to Carnegie's Time to Act, focuses on the specific skills and literacy support needed for reading in academic subject areas in higher grades. Outlines strategies for teaching content knowledge and reading strategies together

After the Great Recession: Law and Economics\u27 Topics of Invention and Arrangement and Tropes of Style

AFTER THE GREAT RECESSION: LAW AND ECONOMICS’ TOPICS OF INVENTION AND ARRANGEMENT AND TROPES OF STYLE by Michael D. Murray Abstract The Great Recession of 2008 and onward has drawn attention to the American economic and financial system, and has cast a critical spotlight on the theories, policies, and assumptions of the modern, neoclassical school of law and economics—often labeled the Chicago School —because this school of legal economic thought has had great influence on the American economy and financial system. The Chicago School\u27s positions on deregulation and the limitation or elimination of oversight and government restraints on stock markets, derivative markets, and other financial practices are the result of decades of neoclassical economic assumptions regarding the efficiency of unregulated markets, the near-religious-like devotion to a hyper-simplified conception of rationality and self-interest with regard to the persons and institutions participating in the financial system, and a conception of laws and government policies as incentives and costs in a manner that excludes the actual conditions and complications of reality. This Article joins the critical conversation on the Great Recession and the role of law and economics in this crisis by examining neoclassical and contemporary law and economics from the perspective of legal rhetoric. Law and economics has developed into a school of contemporary legal rhetoric that provides topics of invention and arrangement and tropes of style to test and improve general legal discourse in areas beyond the economic analysis of law. The rhetorical canons of law and economics—mathematical and scientific methods of analysis and demonstration; the characterization of legal phenomena as incentives and costs; the rhetorical economic concept of efficiency; and rational choice theory as corrected by modern behavioral social sciences, cognitive studies, and brain science—make law and economics a persuasive method of legal analysis and a powerful school of contemporary legal rhetoric, if used in the right hands. My Article is the first to examine the prescriptive implications of the rhetoric of law and economics for general legal discourse as opposed to examining the benefits and limitations of the economic analysis of law itself. This Article advances the conversation in two areas: first, as to the study and understanding of the persuasiveness of law and economics, particularly because that persuasiveness has played a role in influencing American economic and financial policy leading up to the Great Recession; and second, as to the study and understanding of the use of economic topics of invention and arrangement and tropes of style in general legal discourse when evaluated in comparison to the other schools of classical and contemporary legal rhetoric. I examine each of the rhetorical canons of law and economics and explain how each can be used to create meaning, inspire imagination, and improve the persuasiveness of legal discourse in every area of law. My conclusion is that the rhetorical canons of law and economics can be used to create meaning and inspire imagination in legal discourse beyond the economic analysis of law, but the canons are tools that only are as good as the user, and can be corrupted in ways that helped to bring about the current economic crisis

Science Models as Value-Added Services for Scholarly Information Systems

The paper introduces scholarly Information Retrieval (IR) as a further dimension that should be considered in the science modeling debate. The IR use case is seen as a validation model of the adequacy of science models in representing and predicting structure and dynamics in science. Particular conceptualizations of scholarly activity and structures in science are used as value-added search services to improve retrieval quality: a co-word model depicting the cognitive structure of a field (used for query expansion), the Bradford law of information concentration, and a model of co-authorship networks (both used for re-ranking search results). An evaluation of the retrieval quality when science model driven services are used turned out that the models proposed actually provide beneficial effects to retrieval quality. From an IR perspective, the models studied are therefore verified as expressive conceptualizations of central phenomena in science. Thus, it could be shown that the IR perspective can significantly contribute to a better understanding of scholarly structures and activities.Comment: 26 pages, to appear in Scientometric

‘Data’ in the Royal Society's Philosophical Transactions, 1665–1886

Was there a concept of data before the so-called ‘data revolution’? This paper contributes to the history of the concept of data by investigating uses of the term ‘data’ in texts of the Royal Society's Philosophical Transactions for the period 1665–1886. It surveys how the notion enters the journal as a technical term in mathematics, and charts how over time it expands into various other scientific fields, including Earth sciences, physics and chemistry. The paper argues that in these texts the notion of data is not used merely as a rhetorical category, and also cannot strictly be identified with the category of evidence. Instead, the notion comes with an associated epistemic structure, one that is in line with its development from an early mathematical use