title: Lie theory and the wave equation in space-time. 5. R-separable solutions of the wave equation ψtt-Δ3ψ = 0

authors: Kalnins, Ernie G.

abstract: A detailed classification is made of orthogonal coordinate systems for which the wave equation ψtt - Δ3ψ = 0 admits an R -separable solution. Only those coordinate systems are given which are not conformally equivalent to coordinate systems that have been found in previous articles. We find 106 new coordinates to give a total of 367 conformally inequivalent orthogonal coordinates for which the wave equation admits an R -separation of variables.

text: Lie theory and the wave equation in space-time. 5. R-separable solutions of the wave equation ψtt-Δ3ψ = 0 A detailed classification is made of orthogonal coordinate systems for which the wave equation ψtt - Δ3ψ = 0 admits an R -separable solution. Only those coordinate systems are given which are not conformally equivalent to coordinate systems that have been found in previous articles. We find 106 new coordinates to give a total of 367 conformally inequivalent orthogonal coordinates for which the wave equation admits an R -separation of variables.

year: 1977

title: Experiences of NCEA: The challenges and limitations

authors: Arnerich, Amelia

subjects: NCEA

abstract: Aotearoa New Zealand is not exempt from the prevailing issue of student disengagement in education that has worsened since the COVID-19 pandemic. Failure to adequately engage in schooling can prove harmful as it increases the risk of an individual becoming NEET. Youth not in Employment, Education and Training (NEET) is a policy concern, as it demonstrates disengagement in both education and the community which can be detrimental to the economy and society. An engaging curriculum, relevant to the 21st century, is necessary to retain student interest in school. In 2002, the National Certificate of Educational Achievement (NCEA) was introduced as Aotearoa’s main senior secondary school qualification system. The standards-based qualification attempted to address educational inequalities and respond to the need for a dynamic and engaging curriculum. Specifically, NCEA intended to improve accessibility and achievement for marginalised students, providing all individuals, regardless of ethnicity or social standing, the equal opportunity to achieve a senior secondary school qualification. NCEA’s objectives are to prepare students for further training, education, the labour market and to equip them with the skills necessary to actively participate in wider society. This thesis carried out a study on NCEA. The aim of this thesis was to investigate the establishment, implementation, and reform of NCEA policy and practice, to better understand experiences, challenges and limitations encountered by students. The research questions included: How have education policies changed over time in Aotearoa?; What are some of the issues and problems associated with NCEA in practice?; According to academic commentary and past student views, to what extent has NCEA achieved its purposes and objectives? How do some past students view their experience of NCEA? This study utilised a mixed methods approach, examined relevant literature and conducted a survey of past NCEA students. The online survey was designed to evoke insights on student engagement; views on NCEA’s capacity to provide access to relevant 21st century learning; fairness in assessment practices; the extent to which students felt prepared for the workplace and civic duties, school implementation of the qualification system and the NCEA Change Programmes' policy refinements. The survey was an opportunity to enhance past student voice in policy discussion. Findings revealed that the majority of participants were engaged in their learning in some capacity. However, the survey also revealed there was widespread dissatisfaction with NCEA. The literature demonstrated that although NCEA was founded on egalitarian principles and implemented to alleviate educational disparities, it continues to perpetuate pre-existing inequalities. Disengagement and NEET youth remain an ongoing issue. Participants who attended higher decile schools generally had a better NCEA experience. Participants who attended lower decile schools were dissatisfied, in part due to the lack of available educational opportunities. This thesis argues past student experiences highlight engagement and relevance issues in the education system. Additionally, NCEA’s flexible design which enables interschool variation can negatively affect marginalised individuals such as Māori, Pacific Peoples and students from low socioeconomic backgrounds. Finally, this thesis argues there are historical and contemporary systemic barriers to achieving educational equality.

text: Experiences of NCEA: The challenges and limitations Aotearoa New Zealand is not exempt from the prevailing issue of student disengagement in education that has worsened since the COVID-19 pandemic. Failure to adequately engage in schooling can prove harmful as it increases the risk of an individual becoming NEET. Youth not in Employment, Education and Training (NEET) is a policy concern, as it demonstrates disengagement in both education and the community which can be detrimental to the economy and society. An engaging curriculum, relevant to the 21st century, is necessary to retain student interest in school. In 2002, the National Certificate of Educational Achievement (NCEA) was introduced as Aotearoa’s main senior secondary school qualification system. The standards-based qualification attempted to address educational inequalities and respond to the need for a dynamic and engaging curriculum. Specifically, NCEA intended to improve accessibility and achievement for marginalised students, providing all individuals, regardless of ethnicity or social standing, the equal opportunity to achieve a senior secondary school qualification. NCEA’s objectives are to prepare students for further training, education, the labour market and to equip them with the skills necessary to actively participate in wider society. This thesis carried out a study on NCEA. The aim of this thesis was to investigate the establishment, implementation, and reform of NCEA policy and practice, to better understand experiences, challenges and limitations encountered by students. The research questions included: How have education policies changed over time in Aotearoa?; What are some of the issues and problems associated with NCEA in practice?; According to academic commentary and past student views, to what extent has NCEA achieved its purposes and objectives? How do some past students view their experience of NCEA? This study utilised a mixed methods approach, examined relevant literature and conducted a survey of past NCEA students. The online survey was designed to evoke insights on student engagement; views on NCEA’s capacity to provide access to relevant 21st century learning; fairness in assessment practices; the extent to which students felt prepared for the workplace and civic duties, school implementation of the qualification system and the NCEA Change Programmes' policy refinements. The survey was an opportunity to enhance past student voice in policy discussion. Findings revealed that the majority of participants were engaged in their learning in some capacity. However, the survey also revealed there was widespread dissatisfaction with NCEA. The literature demonstrated that although NCEA was founded on egalitarian principles and implemented to alleviate educational disparities, it continues to perpetuate pre-existing inequalities. Disengagement and NEET youth remain an ongoing issue. Participants who attended higher decile schools generally had a better NCEA experience. Participants who attended lower decile schools were dissatisfied, in part due to the lack of available educational opportunities. This thesis argues past student experiences highlight engagement and relevance issues in the education system. Additionally, NCEA’s flexible design which enables interschool variation can negatively affect marginalised individuals such as Māori, Pacific Peoples and students from low socioeconomic backgrounds. Finally, this thesis argues there are historical and contemporary systemic barriers to achieving educational equality.

year: 2024-12-18

title: New Zealand army chaplains at war : 2 NZEF 1939 - 1945

authors: Glen, Frank

abstract: This thesis investigates the motivations to engage in, and the pastoral and sacramental work of, the 1939-45 World War Two chaplains of the Second New Zealand Expeditionary Force, and it explores the theological framework, and theology in which such chaplaincy was carried out. It concludes by noting significant factors and issues of concern to chaplains and their churches in respect of the transition from war to peace.

Historical models of military chaplaincy are found in Constantine’s Roman Empire of 312-337CE, the Christian Crusades of 1096-1291, and the later British Empire. Features of these models provide a tool for understanding and interpreting many aspects of the work and role of the military chaplains of this study. The impact of Christian pacifism is considered, as it is one of the influences which came to bear upon the decision of some clergy who enlisted as chaplains.

Chaplains were recruited from eight denominations and they demonstrated a common pastoral concern for all who were engaged in the various theatres of war. Through the introduction of the concept of ecumenical unit chaplaincy, the battalion became the padre’s parish where he conducted worship, exercised pastoral skills, read the liturgies and preached the Gospel. This became the corner-stone of an ecumenical chaplaincy which developed throughout the war years. Despite the exigencies of war a Bible Class network, church parades - both voluntary and compulsory - and a wide range of religious activities contributed to a spiritual programme which met the needs of a largely nominal Christian 2NZEF.

There emerged from the experience of worship within the 2NZEF a pragmatic ecumenical approach to many aspects of chaplaincy, including in particular the practice, at least for Protestants, of inter-communion. Roman Catholic practice and theological understanding of the Eucharist was enriched by a particular New Zealand contribution. The isolation of the Pacific theatre, coupled with the maturing of the Chaplain’s Department through the Middle East experiences, resulted in a heightening of ecumenical development within the 3rd Division chaplaincy.

The chaplain’s skills in pastoral matters were required to maintain morale, cope with death, wounding and captivity. They are defined first from a military perspective and then examined from a biblical viewpoint. It is primarily in reference to chaplains’ skills associated with the battlefield context, although other situations are included, that issues of pastoral ministry are identified and discussed. The Maori chaplains’ task is discussed in reference to the tohunga of pre-Christian times. Unlike their Pakeha (European) associates. Maori chaplains had access to individuals of influence within New Zealand Maori politics, a factor which was of particular significance.

Almost all chaplains had a belief in the natural justice of World War Two and this thesis will suggest they believed that not to have embarked upon war would have led to infinitely more serious problems for both civilization and the Christian Church. Throughout the war years there was an identified and distinct implicit theological framework which underwrote their attitudes and actions. Their opinions, theological framework and ideology, regarding the war arose both from the ministerial duties they performed and their battlefield experience of war itself.

The model of New Zealand chaplaincy is defined and compared with the classical models noted at the beginning of the thesis. At the end of the war, the 2NZEF Chaplains’ Department held a series of Leadership Schools. These Schools, involving laymen of all denominations. addressed a series of transitional religious and social issues, the outcomes of which were to develop over the decades following WW2. The concluding chapter summarizes a Theology of Chaplaincy which has developed from the foregoing study.

text: New Zealand army chaplains at war : 2 NZEF 1939 - 1945 This thesis investigates the motivations to engage in, and the pastoral and sacramental work of, the 1939-45 World War Two chaplains of the Second New Zealand Expeditionary Force, and it explores the theological framework, and theology in which such chaplaincy was carried out. It concludes by noting significant factors and issues of concern to chaplains and their churches in respect of the transition from war to peace.

Historical models of military chaplaincy are found in Constantine’s Roman Empire of 312-337CE, the Christian Crusades of 1096-1291, and the later British Empire. Features of these models provide a tool for understanding and interpreting many aspects of the work and role of the military chaplains of this study. The impact of Christian pacifism is considered, as it is one of the influences which came to bear upon the decision of some clergy who enlisted as chaplains.

Chaplains were recruited from eight denominations and they demonstrated a common pastoral concern for all who were engaged in the various theatres of war. Through the introduction of the concept of ecumenical unit chaplaincy, the battalion became the padre’s parish where he conducted worship, exercised pastoral skills, read the liturgies and preached the Gospel. This became the corner-stone of an ecumenical chaplaincy which developed throughout the war years. Despite the exigencies of war a Bible Class network, church parades - both voluntary and compulsory - and a wide range of religious activities contributed to a spiritual programme which met the needs of a largely nominal Christian 2NZEF.

There emerged from the experience of worship within the 2NZEF a pragmatic ecumenical approach to many aspects of chaplaincy, including in particular the practice, at least for Protestants, of inter-communion. Roman Catholic practice and theological understanding of the Eucharist was enriched by a particular New Zealand contribution. The isolation of the Pacific theatre, coupled with the maturing of the Chaplain’s Department through the Middle East experiences, resulted in a heightening of ecumenical development within the 3rd Division chaplaincy.

The chaplain’s skills in pastoral matters were required to maintain morale, cope with death, wounding and captivity. They are defined first from a military perspective and then examined from a biblical viewpoint. It is primarily in reference to chaplains’ skills associated with the battlefield context, although other situations are included, that issues of pastoral ministry are identified and discussed. The Maori chaplains’ task is discussed in reference to the tohunga of pre-Christian times. Unlike their Pakeha (European) associates. Maori chaplains had access to individuals of influence within New Zealand Maori politics, a factor which was of particular significance.

Almost all chaplains had a belief in the natural justice of World War Two and this thesis will suggest they believed that not to have embarked upon war would have led to infinitely more serious problems for both civilization and the Christian Church. Throughout the war years there was an identified and distinct implicit theological framework which underwrote their attitudes and actions. Their opinions, theological framework and ideology, regarding the war arose both from the ministerial duties they performed and their battlefield experience of war itself.

The model of New Zealand chaplaincy is defined and compared with the classical models noted at the beginning of the thesis. At the end of the war, the 2NZEF Chaplains’ Department held a series of Leadership Schools. These Schools, involving laymen of all denominations. addressed a series of transitional religious and social issues, the outcomes of which were to develop over the decades following WW2. The concluding chapter summarizes a Theology of Chaplaincy which has developed from the foregoing study.

year: 1996