title: On the subsequence of primes having prime subscripts

authors: Broughan, Kevin A.

subjects: prime-prime

abstract: We explore the subsequence of primes with prime subscripts, (qn), and derive its density and estimates for its counting function. We obtain bounds for the weighted gaps between elements of the subsequence and show that for every positive integer m there is an integer arithmetic progression (an+b : n ∈ ℕ) with at least m of the (qn) satisfying qn = an+b.

text: On the subsequence of primes having prime subscripts We explore the subsequence of primes with prime subscripts, (qn), and derive its density and estimates for its counting function. We obtain bounds for the weighted gaps between elements of the subsequence and show that for every positive integer m there is an integer arithmetic progression (an+b : n ∈ ℕ) with at least m of the (qn) satisfying qn = an+b.

year: 2009

title: 'Armed with power for preventing the spread of infectious disease': The making of the Public Health Act 1872 and its implementation in Auckland Province, 1870-1876

authors: Anderson, Duncan Graham

abstract: This dissertation examines the first piece of comprehensive public health legislation in New Zealand, the 1872 Public Health Act. Previous historians of New Zealand public health have downplayed the significance of the Act, and nineteenth century public health measures in general, suggesting the Act was poorly implemented by Health Boards who had little interest in their duties. This dissertation tests these claims by examining the implementation of the Act in Auckland Province, focusing on Auckland City and its suburbs, where most of the Local Boards of Health were. To fully understand this topic, a number of aspects of public health at the time and of the Act itself are investigated. Wider aspects of public health covered include health conditions in Auckland during the period, and how far they changed, and beliefs and ideas about public health that were held. This dissertation also discusses how the Act was formed in the context of such ideas and conditions, which aspects of it were actively pursued, which were neglected, and by whom, and how far there was a will to act that was limited by factors such as lack of funding, resources and knowledge. These subjects are examined through the use of a range of sources, including official government records, Board of Health records, statistics and newspapers, paying attention to both the substantive information that can be gained from such sources, as well as their discursive elements. This dissertation examines the different levels of power and responsibility set up by the section of the Act which created the Boards of Health, recognising that while there were not always tangible results, there was often an expressed will to act by public health authorities. This dissertation concludes that the Act was an important development in New Zealand's public health history, providing the first legislative expression of the 'sanitary idea' and setting up structures of responsibility that placed much more power to define sanitary conditions with public health authorities than hitherto existed, reducing the ability of individuals to do so and creating a 'new politics of health' that represented a new era.

text: 'Armed with power for preventing the spread of infectious disease': The making of the Public Health Act 1872 and its implementation in Auckland Province, 1870-1876 This dissertation examines the first piece of comprehensive public health legislation in New Zealand, the 1872 Public Health Act. Previous historians of New Zealand public health have downplayed the significance of the Act, and nineteenth century public health measures in general, suggesting the Act was poorly implemented by Health Boards who had little interest in their duties. This dissertation tests these claims by examining the implementation of the Act in Auckland Province, focusing on Auckland City and its suburbs, where most of the Local Boards of Health were. To fully understand this topic, a number of aspects of public health at the time and of the Act itself are investigated. Wider aspects of public health covered include health conditions in Auckland during the period, and how far they changed, and beliefs and ideas about public health that were held. This dissertation also discusses how the Act was formed in the context of such ideas and conditions, which aspects of it were actively pursued, which were neglected, and by whom, and how far there was a will to act that was limited by factors such as lack of funding, resources and knowledge. These subjects are examined through the use of a range of sources, including official government records, Board of Health records, statistics and newspapers, paying attention to both the substantive information that can be gained from such sources, as well as their discursive elements. This dissertation examines the different levels of power and responsibility set up by the section of the Act which created the Boards of Health, recognising that while there were not always tangible results, there was often an expressed will to act by public health authorities. This dissertation concludes that the Act was an important development in New Zealand's public health history, providing the first legislative expression of the 'sanitary idea' and setting up structures of responsibility that placed much more power to define sanitary conditions with public health authorities than hitherto existed, reducing the ability of individuals to do so and creating a 'new politics of health' that represented a new era.

year: 2002

title: Listening to the voices of Year 13 Māori students: A case study in a New Zealand secondary school

authors: Kay, Joan-Marie

subjects: Maori Achievement

abstract: This research focuses on listening to the voices of Year 13 academically successful Māori students in a large, urban, mainstream, co-educational, decile 4, New Zealand secondary school. Traditionally, researchers have tended to emphasise the poor academic performance of Māori students in New Zealand. In contrast, this qualitative case study, however, seeks to understand what influences and motivates the academically successful Year 13 Māori students who have gained the National Certificate of Educational Achievement (NCEA) Level 2 and who returned to school to study for NCEA Level 3.

Semi structured interviews as conversations with all thirteen Māori students who had achieved NCEA Level 2 formed the basis of this research. Five of their parents, seven of their teachers and the principal were also interviewed.

The findings show that these students all stress the importance of their family, in particular, one family member or significant adult in their lives who valued education and supported the student, influencing and encouraging their motivation and self-efficacy. Building positive relationships with their teachers was the next strongest influence on their academic success followed closely by the positive influence of their friends. Self-motivation was mainly extrinsic. The students perceived that the principal had little effect on their individual achievement.

The teachers also acknowledge the importance of building positive relationships with their students and acknowledge the benefits of the reflective practice provided by the Te Kotahitanga project in highlighting this factor.

The findings suggest the excellent initiatives currently taking place in the school need to be continued or strengthened and that further interventions which target particular Māori students, rather than are global across the school, should be introduced.

text: Listening to the voices of Year 13 Māori students: A case study in a New Zealand secondary school This research focuses on listening to the voices of Year 13 academically successful Māori students in a large, urban, mainstream, co-educational, decile 4, New Zealand secondary school. Traditionally, researchers have tended to emphasise the poor academic performance of Māori students in New Zealand. In contrast, this qualitative case study, however, seeks to understand what influences and motivates the academically successful Year 13 Māori students who have gained the National Certificate of Educational Achievement (NCEA) Level 2 and who returned to school to study for NCEA Level 3.

Semi structured interviews as conversations with all thirteen Māori students who had achieved NCEA Level 2 formed the basis of this research. Five of their parents, seven of their teachers and the principal were also interviewed.

The findings show that these students all stress the importance of their family, in particular, one family member or significant adult in their lives who valued education and supported the student, influencing and encouraging their motivation and self-efficacy. Building positive relationships with their teachers was the next strongest influence on their academic success followed closely by the positive influence of their friends. Self-motivation was mainly extrinsic. The students perceived that the principal had little effect on their individual achievement.

The teachers also acknowledge the importance of building positive relationships with their students and acknowledge the benefits of the reflective practice provided by the Te Kotahitanga project in highlighting this factor.

The findings suggest the excellent initiatives currently taking place in the school need to be continued or strengthened and that further interventions which target particular Māori students, rather than are global across the school, should be introduced.

year: 2008