title: A logic for the schema calculus

authors: Henson, Martin C.

subjects: computer science

abstract: In this paper we introduce and investigate a logic for the schema calculus of Z. The schema calculus is arguably the reason for Z’s popularity but so far no true calculus (a sound system of rules for reasoning about schema expressions) has been given. Presentations thus far have either failed to provide a calculus (e.g. the draft standard [3]) or have fallen back on informal descriptions at a syntactic level (most text books e.g. [7]). Once the calculus is established we introduce a derived equational logic which enables us to formalise properly the informal notations of schema expression equality to be found in the literature.

text: A logic for the schema calculus In this paper we introduce and investigate a logic for the schema calculus of Z. The schema calculus is arguably the reason for Z’s popularity but so far no true calculus (a sound system of rules for reasoning about schema expressions) has been given. Presentations thus far have either failed to provide a calculus (e.g. the draft standard [3]) or have fallen back on informal descriptions at a syntactic level (most text books e.g. [7]). Once the calculus is established we introduce a derived equational logic which enables us to formalise properly the informal notations of schema expression equality to be found in the literature.

year: 1998-03

title: Student challenging behaviour and its impact on classroom culture: An investigation into how challenging behaviour can affect the learning culture in New Zealand primary schools

authors: Langley, Dene John

subjects: classroom culture

abstract: Managing challenging behaviour in the classroom is a problem faced by all teachers. Challenging behaviour is any form of behaviour that interferes with children's learning or normal development; is harmful to the child, other children or adults; or puts a child in a high risk category for later social problems or school failure. The purpose of this study was to gain an understanding of the link between undesirable behaviours of students and their effect on classroom learning culture, as one of the key factors in behaviour management is in understanding why challenging behaviour occurs.
The qualitative nature of this research allowed for the exploration of both teacher and student narratives by learning from their experiences regarding challenging behaviour and its effect on a classroom learning culture.
The literature review revealed that it is important, that teachers have a personal definition of challenging behaviour and reflect on their own personal beliefs and the beliefs of others regarding the understanding of challenging behaviours. Research, reviewed in Chapter 2 has indicated that challenging behaviour is strongly context dependent as seen particularly in the impact of different cultural contexts on that behaviour, that learning and behaviour are socially and culturally acquired and that academic learning and social learning are interconnected. 
It is the teachers' responsibility to initiate a classroom culture that recognises the connections between learning and behaviour, especially when there are a number of cultures represented. This type of classroom culture must be acceptable to, and shared by both students and teachers, must recognise and respond to cultural difference, and must avoid deficit thinking about minoritized cultures. To achieve this, teachers need to be the ones that change the most as they are the ones who hold the power to do so.
Successful teachers need to place a high value on forming mutually respectful, trusting and positive relationships with their students which will create classrooms and schools that are safe and caring and allow a stronger focus on realising potential and encourage learning. The most effective way of forming such relationships is to learn to listen to and respect student voice.

The outcomes of this study confirm findings in literature by demonstrating, that a close, positive and supportive relationship between teacher and students are essential for developing learning potential and for responding appropriately to challenging behaviour. Recognition of student voice is central to achieving these aims.

Teachers also need to be aware of cultural difference and be prepared to make shifts in their thinking so that their own culture does not totally dominate in the classroom. In this study, the student and teacher participants were representative of both Māori and European ethnicity and the findings suggest that their assertions regarding how challenging behaviours affects learning were noticeably similar. This suggests perhaps that the participants in this study felt they were in a culturally safe environment where the teachers' culture did not always dominate.

text: Student challenging behaviour and its impact on classroom culture: An investigation into how challenging behaviour can affect the learning culture in New Zealand primary schools Managing challenging behaviour in the classroom is a problem faced by all teachers. Challenging behaviour is any form of behaviour that interferes with children's learning or normal development; is harmful to the child, other children or adults; or puts a child in a high risk category for later social problems or school failure. The purpose of this study was to gain an understanding of the link between undesirable behaviours of students and their effect on classroom learning culture, as one of the key factors in behaviour management is in understanding why challenging behaviour occurs.
The qualitative nature of this research allowed for the exploration of both teacher and student narratives by learning from their experiences regarding challenging behaviour and its effect on a classroom learning culture.
The literature review revealed that it is important, that teachers have a personal definition of challenging behaviour and reflect on their own personal beliefs and the beliefs of others regarding the understanding of challenging behaviours. Research, reviewed in Chapter 2 has indicated that challenging behaviour is strongly context dependent as seen particularly in the impact of different cultural contexts on that behaviour, that learning and behaviour are socially and culturally acquired and that academic learning and social learning are interconnected. 
It is the teachers' responsibility to initiate a classroom culture that recognises the connections between learning and behaviour, especially when there are a number of cultures represented. This type of classroom culture must be acceptable to, and shared by both students and teachers, must recognise and respond to cultural difference, and must avoid deficit thinking about minoritized cultures. To achieve this, teachers need to be the ones that change the most as they are the ones who hold the power to do so.
Successful teachers need to place a high value on forming mutually respectful, trusting and positive relationships with their students which will create classrooms and schools that are safe and caring and allow a stronger focus on realising potential and encourage learning. The most effective way of forming such relationships is to learn to listen to and respect student voice.

The outcomes of this study confirm findings in literature by demonstrating, that a close, positive and supportive relationship between teacher and students are essential for developing learning potential and for responding appropriately to challenging behaviour. Recognition of student voice is central to achieving these aims.

Teachers also need to be aware of cultural difference and be prepared to make shifts in their thinking so that their own culture does not totally dominate in the classroom. In this study, the student and teacher participants were representative of both Māori and European ethnicity and the findings suggest that their assertions regarding how challenging behaviours affects learning were noticeably similar. This suggests perhaps that the participants in this study felt they were in a culturally safe environment where the teachers' culture did not always dominate.

year: 2009

title: 'Kōrero Tuku Iho': Reconfiguring Oral History and Oral Tradition

authors: Mahuika, Nepia

subjects: History

abstract: The studies of oral history and oral tradition each have their own distinctive bodies of literature and preferred methodologies, yet share significant overlaps that make them difficult to differentiate. For many indigenous peoples, oral histories and traditions are key to their their past, present, and future lives, and are rarely considered separate. This thesis examines the differences and similarities between the studies of oral history and oral tradition. It explores how these areas of research converge and diverge in form, politics, practice, and theory, and the extent to which they resonate within a specific ‘indigenous’ context and community.
The thesis draws on the life narrative interviews of four generations of Ngāti Porou descendents, the second largest tribal group in New Zealand, whose home boundaries extend from Potikirua in the north to Te Toka-a-Taiau in the south on the East Coast of the North Island. Drawing on these voices, this study offers a commentary on the form and nature of oral traditions and histories from an indigenous perspective, and explores the ways they converge and depart from ‘international’ understandings. An exploration of these intersections offers insights to the ways oral history and oral traditions might be reconsidered as distinctive fields of study. Reconfigured through an indigenous frame of reference, this thesis challenges scholars of both oral history and oral tradition to expand their conceptions. Likewise, it urges indigenous scholars to consider more deeply the work of oral historians and oral traditionalists to further enhance their scholarship. Moreover, this thesis revisits the intellectual and conceptual territory that names and claims oral history and oral tradition, and invites all those who work in these areas to develop a more extensive comprehension of the interconnections that exist between each area of study.

text: 'Kōrero Tuku Iho': Reconfiguring Oral History and Oral Tradition The studies of oral history and oral tradition each have their own distinctive bodies of literature and preferred methodologies, yet share significant overlaps that make them difficult to differentiate. For many indigenous peoples, oral histories and traditions are key to their their past, present, and future lives, and are rarely considered separate. This thesis examines the differences and similarities between the studies of oral history and oral tradition. It explores how these areas of research converge and diverge in form, politics, practice, and theory, and the extent to which they resonate within a specific ‘indigenous’ context and community.
The thesis draws on the life narrative interviews of four generations of Ngāti Porou descendents, the second largest tribal group in New Zealand, whose home boundaries extend from Potikirua in the north to Te Toka-a-Taiau in the south on the East Coast of the North Island. Drawing on these voices, this study offers a commentary on the form and nature of oral traditions and histories from an indigenous perspective, and explores the ways they converge and depart from ‘international’ understandings. An exploration of these intersections offers insights to the ways oral history and oral traditions might be reconsidered as distinctive fields of study. Reconfigured through an indigenous frame of reference, this thesis challenges scholars of both oral history and oral tradition to expand their conceptions. Likewise, it urges indigenous scholars to consider more deeply the work of oral historians and oral traditionalists to further enhance their scholarship. Moreover, this thesis revisits the intellectual and conceptual territory that names and claims oral history and oral tradition, and invites all those who work in these areas to develop a more extensive comprehension of the interconnections that exist between each area of study.

year: 2012