title: Symmetry operators and separation of variables for spin-wave equations in oblate spheroidal coordinates

authors: Kalnins, Ernie G.

subjects: Mathematics

abstract: A family of second-order differential operators that characterize the solution of the massless spin s field equations, obtained via separation of variables in oblate spheroidal coordinates and using a null tetrad is found. The first two members of the family also characterize the separable solutions in the Kerr space-time. It is also shown that these operators are symmetry operators of the field equations in empty space-times whenever the space-time admits a second-order Killing–Yano tensor.

text: Symmetry operators and separation of variables for spin-wave equations in oblate spheroidal coordinates A family of second-order differential operators that characterize the solution of the massless spin s field equations, obtained via separation of variables in oblate spheroidal coordinates and using a null tetrad is found. The first two members of the family also characterize the separable solutions in the Kerr space-time. It is also shown that these operators are symmetry operators of the field equations in empty space-times whenever the space-time admits a second-order Killing–Yano tensor.

year: 1990-07

title: Neon Chalk: Designing Software to Support Drawing as Play for Children with Autism Spectrum Disorders

authors: Shannon, Grant

subjects: autism spectrum disorders

abstract: Neon Chalk is a prototype piece of software designed to support drawing as play, for children with Autism Spectrum Disorders (ASD). It incorporates a minimalist interface to reduce distraction while drawing, compelling colours and sound that are configurable for each user, and an interaction design that makes the stimulus reward outputted by the software contingent on input from the child drawing.
The design and development of the Neon Chalk prototype has motivated and informed the assessment of user-centred data gathering techniques. Six children with ASD were involved in this research. The techniques used within this studied are evaluated based on their suitability of use with this challenging user population.

text: Neon Chalk: Designing Software to Support Drawing as Play for Children with Autism Spectrum Disorders Neon Chalk is a prototype piece of software designed to support drawing as play, for children with Autism Spectrum Disorders (ASD). It incorporates a minimalist interface to reduce distraction while drawing, compelling colours and sound that are configurable for each user, and an interaction design that makes the stimulus reward outputted by the software contingent on input from the child drawing.
The design and development of the Neon Chalk prototype has motivated and informed the assessment of user-centred data gathering techniques. Six children with ASD were involved in this research. The techniques used within this studied are evaluated based on their suitability of use with this challenging user population.

year: 2009

title: Tīhei Mauri Ora: Negotiating primary school teachers' personal and professional identities as Māori

authors: Gilgen, Renée

subjects: Professional Learning and Development for teachers

abstract: Colonial attitudes that positioned Māori language, knowledge and pedagogy as inferior and deficient continue to impact on 21st century primary school contexts in Aotearoa/New Zealand. They continue to impact particularly on the personal and professional identities and experiences of Māori teachers in contemporary English-medium schools. Just as, historically, Māori students were expected to leave their language and culture at the 19th century colonial school gates, so too are many contemporary Māori teachers in mainstream schools expected to set aside their language and culture and engage with the curriculum and pedagogy of the school where they work. Ironically, at the same time, these teachers are often expected to guide and assist their school to meet its requirements under Te Tiriti o Waitangi/Treaty of Waitangi to ensure that its Māori students will succeed as Māori.

This thesis sought to understand how a small cohort of experienced Māori teachers, positioned within 21st century English-medium primary schools, perceived and negotiated the challenges to their personal and professional identities as Māori, and as Māori teachers. The thesis employed a qualitative participant narrative methodology, framed with kaupapa Māori theory. The teachers participated in individual interviews and in a series of hui kōrero (focused conversations) that assisted them to reflect critically on sociohistorical and educational factors that influenced the formation and maintenance of their identities as Māori.

The teachers’ narratives that emerged from individual and collaborative hui kōrero revealed that (1) being raised within urban environments and being themselves educated in monocultural schools during the 1960s and 1970s strongly impacted on how their Māori identities were shaped and, (2) their teaching experiences within English-medium primary schools and classrooms were culturally isolating and destructive, and largely unsupportive of the diverse realities that exists for some Māori teachers.

I offer two key strategic responses to these findings. Firstly, I offer a self-identity continuum that seeks to respect and affirm Māori identity by taking into account the different levels and contexts of experience some Māori teachers may have with Māori cultural concepts and practices. Secondly, I assert the need for a culturally located and relational space within English-medium school contexts for Māori teachers to engage with, and draw on the support of other Māori teachers in order to affirm their varying personal and professional identities as Māori. Meeting this need is understood as a Tiriti o Waitangi/Treaty-honouring response, required of all schools.

text: Tīhei Mauri Ora: Negotiating primary school teachers' personal and professional identities as Māori Colonial attitudes that positioned Māori language, knowledge and pedagogy as inferior and deficient continue to impact on 21st century primary school contexts in Aotearoa/New Zealand. They continue to impact particularly on the personal and professional identities and experiences of Māori teachers in contemporary English-medium schools. Just as, historically, Māori students were expected to leave their language and culture at the 19th century colonial school gates, so too are many contemporary Māori teachers in mainstream schools expected to set aside their language and culture and engage with the curriculum and pedagogy of the school where they work. Ironically, at the same time, these teachers are often expected to guide and assist their school to meet its requirements under Te Tiriti o Waitangi/Treaty of Waitangi to ensure that its Māori students will succeed as Māori.

This thesis sought to understand how a small cohort of experienced Māori teachers, positioned within 21st century English-medium primary schools, perceived and negotiated the challenges to their personal and professional identities as Māori, and as Māori teachers. The thesis employed a qualitative participant narrative methodology, framed with kaupapa Māori theory. The teachers participated in individual interviews and in a series of hui kōrero (focused conversations) that assisted them to reflect critically on sociohistorical and educational factors that influenced the formation and maintenance of their identities as Māori.

The teachers’ narratives that emerged from individual and collaborative hui kōrero revealed that (1) being raised within urban environments and being themselves educated in monocultural schools during the 1960s and 1970s strongly impacted on how their Māori identities were shaped and, (2) their teaching experiences within English-medium primary schools and classrooms were culturally isolating and destructive, and largely unsupportive of the diverse realities that exists for some Māori teachers.

I offer two key strategic responses to these findings. Firstly, I offer a self-identity continuum that seeks to respect and affirm Māori identity by taking into account the different levels and contexts of experience some Māori teachers may have with Māori cultural concepts and practices. Secondly, I assert the need for a culturally located and relational space within English-medium school contexts for Māori teachers to engage with, and draw on the support of other Māori teachers in order to affirm their varying personal and professional identities as Māori. Meeting this need is understood as a Tiriti o Waitangi/Treaty-honouring response, required of all schools.

year: 2016