The myth of the nation: Historiography of New Zealand architecture since 1907

This paper considers the relationship between the recent historiography (of the last quarter century) of “New Zealand architecture” and the historical notion of “New Zealand-ness” invoked in contemporary architecture. It argues that a more recent programmatic uptake of post-War discussions on national identity and regional specificity has fed the tendencies of practicing architects to defer to history in rhetorical defences of their work: the beach-side mansion as a contemporary expression of the 1950s bach; a formal modernism divorced from the social discourse adherent to the historical moment that it “restates”; and so on. The paper will consider instances in the historiography of New Zealand architecture where historians have compounded, consciously or accidentally, a problem that is systemic to the uses made by architects of historical knowledge (in the most general examples), identifying the difficulties of relying upon the tentative conclusions of an under-studied field in developing principles of contemporary architectural practice under the banners of New Zealand-ness, regionalism, or localism, or with reference to icons of New Zealand architectural history. At the heart of this paper is a reflection on historiographical responsibility in presenting knowledge of a national past to an audience that is eager to transform that knowledge into principles of contemporary production. What, the paper asks, is the historical basis for speaking of a New Zealand architecture? Can we speak of a national history of architecture distinct from a regional history, or from an international history of architecture?

Learning mathematics in a classroom community of inquiry

This article considers the question of what specific actions a teacher might take to create a culture of inquiry in a secondary school mathematics classroom. Sociocultural theories of learning provide the framework for examining teaching and learning practices in a single classroom over a two-year period. The notion of the zone of proximal development (ZPD) is invoked as a fundamental framework for explaining learning as increasing participation in a community of practice characterized by mathematical inquiry. The analysis draws on classroom observation and interviews with students and the teacher to show how the teacher established norms and practices that emphasized mathematical sense-making and justification of ideas and arguments and to illustrate the learning practices that students developed in response to these expectations.

Libido Operandi or Conflict: Tafuri on Historic Preservation and Historiography

A brief analysis of an interview with Manfredo Tafuri (1991) on the relationship between historiography and judgements bound up in architectural preservation, restoration and conservation.

Remembering sport history: Narrative, social memory and the origins of the rugby league in Australia

This study examines the historiography of the origins of rugby league in Australia. By accepting the inclusive nature of representation of the past as found in social memory theory, a wide range of sources ranging from histories written by academics to annuals, yearbooks and newspaper books are consulted. These sources reveal that there are several competing and conflicting accounts of the emergence of rugby league in Australia. These divergent accounts are used to facilitate a discussion of the role of narrative in sport history This article argues that narrative is an integral, not optional, feature of the production of history and that the historography of the origins of rugby league highlight the problematic nature of objectivity in history and the unavoidable, impositionalist role of the historian.

Partial regularity of weak solutions of the liquid crystal equilibrium system

For a parameter, we consider the modified relaxed energy of the liquid crystal system. Each minimizer of the modified relaxed energy is a weak solution to the liquid crystal equilibrium system. We prove the partial regularity of minimizers of the modified relaxed energy. We also prove the existence of infinitely many weak solutions for the special boundary value x.

Existence of complementary pairs of proportionally balanced designs

Proportionally balanced designs (pi BDs) were introduced by Gray and Matters in response to a need for the allocation of markers of the Queensland Core Skills Test to have a certain property. Subsequent papers extended the theoretical results relating to such designs and provided further instances and general constructions. This work focused on designs comprising blocks of precisely two sizes, and when each variety occurs with one of precisely two possible frequencies. Two designs based on the set V of varieties are complementary if, whenever B is a block of one, then its complement with regard to the set V is a block of the other. Here we present necessary conditions for the existence of complementary pairs of such pi BDs and provide lists of some restricted parameter sets satisfying these necessary conditions. The lists are arranged according to the number of blocks. We demonstrate that not all of these parameter sets give rise to designs. However we establish by construction of the sets of blocks that, for every feasible number of blocks less than or equal to 100, with the possible exception of 63, there exists at least one pair of complementary pi BDs. We also investigate the conditions under which the complementary design can be isomorphic to the original design, and again provide a list of feasible parameters for pairs of such designs with at most 400 blocks.