title: Higher order congruences amongst hasse-weil L-values

authors: Delbourgo, Daniel

subjects: elliptic curves

abstract: For the (d+1)-dimensional Lie group G=Z×pZp⊕d we determine through the use of p-power congruences a necessary and sufficient set of conditions whereby a collection of abelian L-functions arises from an element in K₁Zp[G]. If E is a semistable elliptic curve over Q, these abelian L-functions already exist; therefore, one can obtain many new families of higher order p-adic congruences. The first layer congruences are then verified computationally in a variety of cases.

text: Higher order congruences amongst hasse-weil L-values For the (d+1)-dimensional Lie group G=Z×pZp⊕d we determine through the use of p-power congruences a necessary and sufficient set of conditions whereby a collection of abelian L-functions arises from an element in K₁Zp[G]. If E is a semistable elliptic curve over Q, these abelian L-functions already exist; therefore, one can obtain many new families of higher order p-adic congruences. The first layer congruences are then verified computationally in a variety of cases.

year: 2015-02-03

title: Judging What They Do:  Formal, Informal, and Self Appraisal of  New Zealand (Rural) Primary School Principals

authors: Earl Rinehart, (Suzanne) Kerry

subjects: Principal appraisal,

abstract: As in other western market economies, New Zealand government education policy reflects neoliberal economic thinking, neo-conservative ideals and practices of an audit culture. New Zealand’s self-managing schools’ policy, introduced in 1989, changed significantly the complexity of school principals’ work. Leadership frameworks and professional standards have ‘captured’ this complexity and support appraisal of principals. 
Neoliberal/neoconservative thinking has also influenced educational leadership research by focusing on individual leader characteristics and specific cases of ‘successful’ school principalship. Instead in this study formative assessment research provides the lens to (re)consider appraisal experience of six school principals in small rural primary schools. Using a contemporary-pragmatist approach, interviews, abductive processes of analysis and literary forms of representation were chosen as appropriate research design elements. The research concern was: to what extent does principal appraisal recognise the nature and complexity of expectations of principal work in specific school settings and consider the human being undertaking this work?  
Insights from this study come under the umbrella phrase it is people that matter. Thus, appraisal in this study reflects the nature of principals’ work—in the significance of interaction, management and professional judgement—more than aspects of administration or assessment. Recommendations include: future appraisal policy values principal-appraiser interaction; principal preparation and professional development programmes advocate for the importance of self-care and management in principalship; and research further explores the nature and influence of school communities on principals’ decision-making and the judgement of principals’ work.

text: Judging What They Do:  Formal, Informal, and Self Appraisal of  New Zealand (Rural) Primary School Principals As in other western market economies, New Zealand government education policy reflects neoliberal economic thinking, neo-conservative ideals and practices of an audit culture. New Zealand’s self-managing schools’ policy, introduced in 1989, changed significantly the complexity of school principals’ work. Leadership frameworks and professional standards have ‘captured’ this complexity and support appraisal of principals. 
Neoliberal/neoconservative thinking has also influenced educational leadership research by focusing on individual leader characteristics and specific cases of ‘successful’ school principalship. Instead in this study formative assessment research provides the lens to (re)consider appraisal experience of six school principals in small rural primary schools. Using a contemporary-pragmatist approach, interviews, abductive processes of analysis and literary forms of representation were chosen as appropriate research design elements. The research concern was: to what extent does principal appraisal recognise the nature and complexity of expectations of principal work in specific school settings and consider the human being undertaking this work?  
Insights from this study come under the umbrella phrase it is people that matter. Thus, appraisal in this study reflects the nature of principals’ work—in the significance of interaction, management and professional judgement—more than aspects of administration or assessment. Recommendations include: future appraisal policy values principal-appraiser interaction; principal preparation and professional development programmes advocate for the importance of self-care and management in principalship; and research further explores the nature and influence of school communities on principals’ decision-making and the judgement of principals’ work.

year: 2017

title: Genre and authentic written discourse in Maori and their relevance to the education of students in upper secondary and tertiary Maori-medium educational settings

authors: Houia-Roberts, Ngaere

subjects: Māori medium education

abstract: I report here on part of a research project whose primary aim was to investigate a range of authentic Māori texts in terms of the search for commonly occurring organisational and cognitive patterns, and to consider the pedagogic implications of this investigation in terms of the teaching of writing skills in Māori-medium educational settings. An examination of a range of text segments written by educated and highly proficient users of Māori suggests that, in terms of textual relationships, there are characteristic patterns of organisation that characterise the three genres that appear to be most commonly required of student writers in Māori-medium upper secondary and tertiary educational contexts, that is, the genres of arguing, explaining and describing. Another part of the project – an examination of whole texts in terms of overall, structuring – is reported in the next issue of this journal.

text: Genre and authentic written discourse in Maori and their relevance to the education of students in upper secondary and tertiary Maori-medium educational settings I report here on part of a research project whose primary aim was to investigate a range of authentic Māori texts in terms of the search for commonly occurring organisational and cognitive patterns, and to consider the pedagogic implications of this investigation in terms of the teaching of writing skills in Māori-medium educational settings. An examination of a range of text segments written by educated and highly proficient users of Māori suggests that, in terms of textual relationships, there are characteristic patterns of organisation that characterise the three genres that appear to be most commonly required of student writers in Māori-medium upper secondary and tertiary educational contexts, that is, the genres of arguing, explaining and describing. Another part of the project – an examination of whole texts in terms of overall, structuring – is reported in the next issue of this journal.

year: 2003-09