Diverging from the dominant discourse – some implications of conflicting subject understandings in the education of teachers

This paper addresses beginning teachers thinking about the nature and purposes of their subject and the impact of this on their practice. Individual qualitative interviews were undertaken with 11 history teachers at the beginning of their teaching careers. Data was analysed using writing as the method of analysis and revealed that teachers whose thinking was at odds with dominant discourses, for example in the form of a national curriculum, encountered difficulties embracing pedagogies and aspects of the curriculum that do not accord with their own deep-seated beliefs, demonstrating a need for the initial training and professional development of teachers to forefront consideration of subject understandings.

Inclusive approaches to teaching and learning mathematics

This chapter explores the role of mentors in supporting pre-service teachers to include all children in mathematics teaching, no matter what their individual needs.

A multidimensional comparison of discourse organization in English and Chinese university students' argumentative writing

Three methodological limitations in English-Chinese contrastive rhetoric research have been identified in previous research, namely: the failure to control for the quality of L1 data; an inference approach to interpreting the relationship between L1 and L2 writing; and a focus on national cultural factors in interpreting rhetorical differences. Addressing these limitations, the current study examined the presence or absence and placement of thesis statement and topic sentences in four sets of argumentative texts produced by three groups of university students. We found that Chinese students tended to favour a direct/deductive approach in their English and Chinese writing, while native English writers typically adopted an indirect/inductive approach. This study argues for a dynamic and ecological interpretation of rhetorical practices in different languages and cultures.

Anti-Slavic imagery in German radical nationalist discourse at the turn of the twentieth century: a prelude to Nazi ideology?

By applying methods of cognitive metaphor theory, Jaworska examines metaphorical scenarios employed in the discourse of anti-Slavism, which featured prominently in radical nationalist propaganda in Germany at the turn of the twentieth century. She does so by analysing metaphorical expressions used to refer to the Polish population living in the eastern provinces of Prussia, in the so-called Ostmark. Her article is based on an analysis of a range of pamphlets and newspaper articles written by some of the leading figures of two nationalist organizations: the Pan-German League (Alldeutscher Verband) and the Eastern Marches Society(Ostmarkenverein). The main research questions it addresses are: What kind of metaphoric scenarios were used to depict the Polish minority, and to what extent were the metaphorical patterns of anti-Slavic imagery similar to those employed in the antisemitic propaganda of the Nazi era? Is there a discursive continuity between the radical nationalism of imperial Germany and the National Socialism of the Third Reich at the level of metaphorical scenarios? Ultimately, Jaworska attempts to contribute to a better understanding of the cognitive mechanisms underlying radical and essentially racist attitudes.

Transreal limits expose category errors in IEEE 754 floating-point arithmetic and in mathematics

The IEEE 754 standard for oating-point arithmetic is widely used in computing. It is based on real arithmetic and is made total by adding both a positive and a negative infinity, a negative zero, and many Not-a-Number (NaN) states. The IEEE infinities are said to have the behaviour of limits. Transreal arithmetic is total. It also has a positive and a negative infinity but no negative zero, and it has a single, unordered number, nullity. We elucidate the transreal tangent and extend real limits to transreal limits. Arguing from this firm foundation, we maintain that there are three category errors in the IEEE 754 standard. Firstly the claim that IEEE infinities are limits of real arithmetic confuses limiting processes with arithmetic. Secondly a defence of IEEE negative zero confuses the limit of a function with the value of a function. Thirdly the definition of IEEE NaNs confuses undefined with unordered. Furthermore we prove that the tangent function, with the infinities given by geometrical con- struction, has a period of an entire rotation, not half a rotation as is commonly understood. This illustrates a category error, confusing the limit with the value of a function, in an important area of applied mathe- matics { trigonometry. We brie y consider the wider implications of this category error. Another paper proposes transreal arithmetic as a basis for floating- point arithmetic; here we take the profound step of proposing transreal arithmetic as a replacement for real arithmetic to remove the possibility of certain category errors in mathematics. Thus we propose both theo- retical and practical advantages of transmathematics. In particular we argue that implementing transreal analysis in trans- floating-point arith- metic would extend the coverage, accuracy and reliability of almost all computer programs that exploit real analysis { essentially all programs in science and engineering and many in finance, medicine and other socially beneficial applications.

National interest to global reform: patterns of reasoning in British foreign policy discourse

Discussion of the national interest often focuses on how Britain's influence can be maximized, rather than on the goals that influence serves. Yet what gives content to claims about the national interest is the means-ends reasoning which links interests to deeper goals. In ideal-typical terms, this can take two forms. The first, and more common, approach is conservative: it infers national interests and the goals they advance from existing policies and commitments. The second is reformist: it starts by specifying national goals and then asks how they are best advanced under particular conditions. New Labour's foreign policy discourse is notable for its explicit use of a reformist approach. Indeed, Gordon Brown's vision of a 'new global society' not only identifies global reform as a key means of fulfilling national goals, but also thereby extends the concept of the national interest well beyond a narrow concern with national security.

Challenging climate change and migration discourse: different understandings of time-scale and temporality in the Maldives

This article draws on ongoing research in the Maldives to explore differences between elite and non-elite perceptions of climate change and migration. It argues that, in addition to variations in perceptions based on diverse knowledge, priorities and agendas, there exists a more fundamental divergence based upon different understandings of the time-scale of climate change and related ideas of urgency and crisis. Specifically, elites tend to focus on a distant future which is generally abstracted from people’s everyday lived realities, as well as utilise the language of a climate change-induced migration ‘crisis’ in their discussions about impacts in a manner not envisaged by non-elites. The article concludes that, rather than unproblematically mapping global, external facing narratives wholesale onto ordinary people’s lives and experiences, there needs to be more dialogue between elites and non-elites on climate change and migration issues. These perspectives should be integrated more effectively in the development of policy interventions designed to help people adapt to the impacts of global environmental change.

Half-remembered quotations from mostly forgotten speeches: the limits of Labour’s European policy discourse

This article uses discourse analysis to study the continuities in British foreign policy thinking within the Labour party from the 1960s to the present day. Using representative extracts from speeches by Hugh Gaitskell, Harold Wilson, Tony Blair and Gordon Brown, it identifies the ideational consis- tencies in the leaders’ attitudes to: Empire; federalism in the EEC/EU; and laying down conditions that have to be met before any constructive engagement with ‘Europe’ can be countenanced. We argue that these consistencies, spanning a 50-year period, exemplify a certain stagnation both within Labour’s European discourses and within British foreign policy thinking more widely. We develop the idea that Labour party thinking has been crucially framed by both small ‘c’ conser- vative and upper-case Conservative ideology, popularised by Winston Churchill in his ‘three circles’ model of British foreign policy.