title: Models for quadratic algebras associated with second order superintegrable systems in 2D

authors: Kalnins, Ernie G.

subjects: superintegrability

abstract: There are 13 equivalence classes of 2D second order quantum and classical superintegrable systems with nontrivial potential, each associated with a quadratic algebra of hidden symmetries. We study the finite and infinite irreducible representations of the quantum quadratic algebras though the construction of models in which the symmetries act on spaces of functions of a single complex variable via either differential operators or difference operators. In another paper we have already carried out parts of this analysis for the generic nondegenerate superintegrable system on the complex 2-sphere. Here we carry it out for a degenerate superintegrable system on the 2-sphere. We point out the connection between our results and a position dependent mass Hamiltonian studied by Quesne. We also show how to derive simple models of the classical quadratic algebras for superintegrable systems and then obtain the quantum models from the classical models, even though the classical and quantum quadratic algebras are distinct.

text: Models for quadratic algebras associated with second order superintegrable systems in 2D There are 13 equivalence classes of 2D second order quantum and classical superintegrable systems with nontrivial potential, each associated with a quadratic algebra of hidden symmetries. We study the finite and infinite irreducible representations of the quantum quadratic algebras though the construction of models in which the symmetries act on spaces of functions of a single complex variable via either differential operators or difference operators. In another paper we have already carried out parts of this analysis for the generic nondegenerate superintegrable system on the complex 2-sphere. Here we carry it out for a degenerate superintegrable system on the 2-sphere. We point out the connection between our results and a position dependent mass Hamiltonian studied by Quesne. We also show how to derive simple models of the classical quadratic algebras for superintegrable systems and then obtain the quantum models from the classical models, even though the classical and quantum quadratic algebras are distinct.

year: 2008-01

title: The distribution of leadership as an influence on the implementation of a national policy initiative: the example of the Laptops for Teachers scheme

authors: Cowie, Bronwen

subjects: leadership

abstract: Research on the nature of and support for systemic sustainable innovation with ICT is converging with research on policy implementation and studies of school change and improvement to highlight the complex interplay of personal and contextual factors that enable and constrain innovation. In each of these fields, leadership has been found to play a crucial role in initiating and sustaining change and innovation. This leadership is not however the prerogative of any one individual but rather it is distributed over people at all levels of the system and across policies, practices and material resources. Leadership for innovation around and with ICT technologies is also distributed across time because of its substantial financial and knowledge implications. In this article, we illustrate the distributed nature of the leadership that supported teachers and schools to make use of teacher personal laptops accessed through the New Zealand government Laptops for Teachers scheme.

text: The distribution of leadership as an influence on the implementation of a national policy initiative: the example of the Laptops for Teachers scheme Research on the nature of and support for systemic sustainable innovation with ICT is converging with research on policy implementation and studies of school change and improvement to highlight the complex interplay of personal and contextual factors that enable and constrain innovation. In each of these fields, leadership has been found to play a crucial role in initiating and sustaining change and innovation. This leadership is not however the prerogative of any one individual but rather it is distributed over people at all levels of the system and across policies, practices and material resources. Leadership for innovation around and with ICT technologies is also distributed across time because of its substantial financial and knowledge implications. In this article, we illustrate the distributed nature of the leadership that supported teachers and schools to make use of teacher personal laptops accessed through the New Zealand government Laptops for Teachers scheme.

year: 2011

title: A socio-demographic profile of Māori living in Australia

authors: Kukutai, Tahu

subjects: demography

abstract: This report provides a comprehensive demographic and socio-economic profile of the Māori population in Australia using data from the 2011 Australia Census of Population and Housing. The purpose is to provide an evidence base with which to inform future policy approaches with respect to Māori in Australia. It focuses on five key areas: 

Population size and composition; 
Identity and culture; 
Year of arrival and citizenship; 
Education and work; 
Lone parenting and unpaid childcare. 

Comparisons are undertaken with Māori in the 2006 Australia Census, as well as with two reference groups: the total Australia population and migrant non-Māori New Zealanders. Where appropriate, we also distinguish Māori migrants born in New Zealand and Māori born in Australia. This captures important differences within the Māori population in Australia that have been under-examined in previous studies.

text: A socio-demographic profile of Māori living in Australia This report provides a comprehensive demographic and socio-economic profile of the Māori population in Australia using data from the 2011 Australia Census of Population and Housing. The purpose is to provide an evidence base with which to inform future policy approaches with respect to Māori in Australia. It focuses on five key areas: 

Population size and composition; 
Identity and culture; 
Year of arrival and citizenship; 
Education and work; 
Lone parenting and unpaid childcare. 

Comparisons are undertaken with Māori in the 2006 Australia Census, as well as with two reference groups: the total Australia population and migrant non-Māori New Zealanders. Where appropriate, we also distinguish Māori migrants born in New Zealand and Māori born in Australia. This captures important differences within the Māori population in Australia that have been under-examined in previous studies.

year: 2013-06