Fractions Versus VELS : Making sense and teaching richly

Fractions are different from other numbers: they need new ways of working - right? No. That’s a recipe for relying on unexplainable rote rules. Fraction calculations are sensibly based in properly understood whole-number operations. If we really know how to multiply and divide (and add and subtract) whole-numbers, doing the same kinds of things with fractions will be easy, and memorable. But how does this fit with VELS and Progression Points? What is the Fraction Curriculum, and how could we teach it?

From fibro shacks to McMansions: considering the impact of housing change on the sense of place in the historic Victorian coastal towns of Sorrento and Queenscliff

Eighty per cent of Australians now live within 50 kilometres of the coast.1 While most of the population remains concentrated in the large capital cities, some people have chosen small coastal towns as their permanent and or second-home destination. Greater mobility and income has increased the feasibility and attractiveness of living in these once overlooked and forgotten towns. The arrival of these new residents has changed the towns in both positive and negative ways. Declining traditional industries have been replaced by tourism and service sectors, providing a much-needed economic revival. The expectations of new residents, both permanent and non-permanent, however, have also brought challenges to the towns. Metropolitan value systems sometimes impact negatively on the unique sense of place and neighbourhood character of these towns. This paper presents both quantitative and qualitative evidence of the impact on character and sense of place in two historic coastal towns, Queenscliff and Sorrento, in southern Victoria. Census data shows how employment and the number of permanent residents have changed radically over the last 50-60 years, altering the social fabric of the towns. An analysis of the building footprint over a similar timeframe shows a growth in building size as larger houses become more common, and a growth in planning appeals for the towns is indicative of a clash of expectations between the council, long-time and new residents. While these indicators demonstrate the impact on the character of the towns as defined by their built environment, some oral accounts of local residents are used to show the emotional impact of these changes on the traditional sense of place associated with these towns. Some specific examples of changes to the built environment are provided to demonstrate that local planning schemes are not always successful in protecting neighbourhood character and that further measures are required in order to safeguard the uniqueness of coastal towns from the negative aspects of development.

Deleuze's neo-leibnizianism, events and the logic of sense's 'static ontological genesis'

In The Logic of Sense, Deleuze effectively argues that two types of relation between events govern their ‘evental’ or ‘ideal play’, and ultimately underlie determined substances, that is, worldly individuals and persons. Leibniz calls these relations ‘compossibility’ and ‘incompossibility’. Deleuze calls them ‘convergence’ and ‘divergence’. This paper explores how Deleuze appropriates and extends a number of Leibnizian concepts in order to ground the idea that events have ontological priority over substances ‘all the way down’.

On the determination of the number of factors using information criteria with data-driven penalty

As is well known, when using an information criterion to select the number of common factors in factor models the appropriate penalty is generally indetermine in the sense that it can be scaled by an arbitrary constant, c say, without affecting consistency. In an influential paper, Hallin and Liška (J Am Stat Assoc102:603–617, 2007) proposes a data-driven procedure for selecting the appropriate value of c. However, by removing one source of indeterminacy, the new procedure simultaneously creates several new ones, which make for rather complicated implementation, a problem that has been largely overlooked in the literature. By providing an extensive analysis using both simulated and real data, the current paper fills this gap.

Making sense of business leadership vis-à-vis china’s reform and transition

Purpose – The purpose of this paper is to explore the contemporary paradigm of business leadership vis-à-vis China’s reform and transitional context. Design/methodology/approach – The paper employs an evidence-based approach to explore the business leadership issues influenced by economic reform and within the context of societal transition in China. A qualitative research method was adopted based on in-depth interviews with a number of middle managers from a variety of Chinese enterprises, including state-owned, domestic-private and foreigninvested enterprises. Content analysis of several rounds of interviews added depth to the data analysis. Findings – The findings complement existing thoughts and illustrate concepts, issues, and characteristics not yet emphasized in mainstream literature. General patterns and associated characteristics of business leadership in China, as well as specific patterns associated with different forms of enterprise ownerships, are identified. Research limitations/implications – The study makes a timely and necessary contribution that enriches context-specific understandings of business leadership against the backdrop of surrounding economic, social, and cultural changes. Practical implications – The study enriches understandings of commonalities and differences in leadership across the globe, facilitating working collaboratively to achieve common goals in a global community. Originality/value – The study offers new insights into business leadership by linking contextual, personal, and cognitional factors together and demonstrates some unique characteristics of leadership styles in transitional economies like China.