title: Intra-conference and Post-conference Tour Guides, International Inter-INQUA Field Conference and Workshop on Tephrochronology, Loess, and Paleopedology

authors: Lowe, David J.

abstract: New Zealand consists of a cluster of islands, the three largest being North, South, and Stewart, in the southwest Pacific Ocean. They have a total land area of about 270 000 km2 (similar to that of the British Isles or Japan). The islands are the small emergent parts of a much larger submarine continental mass (Fig. 0.1) that was rafted away from Australia and Antarctica by sea-floor spreading in the proto-Tasman Sea between 85 and 60 Ma. Much of this New Zealand subcontinent is a remnant of the former eastern margin of Gondwanaland, the ancient southern supercontinent. The mainland islands form a long, narrow, NE-SW trending archipelago bisected by an active, obliquely converging, boundary between the Australian and Pacific lithospheric plates (Fig. 0.2), which has evolved over the last 25 million years (Kamp 1992). The plate boundary is marked by active seismicity and volcanic arcs, illustrating New Zealand's position as part of the Circum-Pacific Mobile Belt -the so-called "Pacific Ring of Fire". The NE-SW trend of the modem plate boundary cuts across mainly NW-SE oriented structural features inherited from earlier (mid-Cretaceous) rifting events.

text: Intra-conference and Post-conference Tour Guides, International Inter-INQUA Field Conference and Workshop on Tephrochronology, Loess, and Paleopedology New Zealand consists of a cluster of islands, the three largest being North, South, and Stewart, in the southwest Pacific Ocean. They have a total land area of about 270 000 km2 (similar to that of the British Isles or Japan). The islands are the small emergent parts of a much larger submarine continental mass (Fig. 0.1) that was rafted away from Australia and Antarctica by sea-floor spreading in the proto-Tasman Sea between 85 and 60 Ma. Much of this New Zealand subcontinent is a remnant of the former eastern margin of Gondwanaland, the ancient southern supercontinent. The mainland islands form a long, narrow, NE-SW trending archipelago bisected by an active, obliquely converging, boundary between the Australian and Pacific lithospheric plates (Fig. 0.2), which has evolved over the last 25 million years (Kamp 1992). The plate boundary is marked by active seismicity and volcanic arcs, illustrating New Zealand's position as part of the Circum-Pacific Mobile Belt -the so-called "Pacific Ring of Fire". The NE-SW trend of the modem plate boundary cuts across mainly NW-SE oriented structural features inherited from earlier (mid-Cretaceous) rifting events.

year: 1994-02-01

title: Lie theory and separation of variables. 9. Orthogonal R-separable coordinate systems for the wave equation ψtt-∆2ψ=0

authors: Kalnins, Ernie G.

subjects: Mathematics

abstract: A list of orthogonal coordinate systems which permit R-separation of the wave equation ψtt-∆2ψ=0 is presented. All such coordinate systems whose coordinate curves are cyclides or their degenerate forms are given. In each case the coordinates and separation equations are computed. The two basis operators associated with each coordinate system are also presented as symmetric second order operators in the enveloping algebra of the conformal group O(3,2).

text: Lie theory and separation of variables. 9. Orthogonal R-separable coordinate systems for the wave equation ψtt-∆2ψ=0 A list of orthogonal coordinate systems which permit R-separation of the wave equation ψtt-∆2ψ=0 is presented. All such coordinate systems whose coordinate curves are cyclides or their degenerate forms are given. In each case the coordinates and separation equations are computed. The two basis operators associated with each coordinate system are also presented as symmetric second order operators in the enveloping algebra of the conformal group O(3,2).

year: 1976-03

title: Kaupapa Māori Science

authors: Stewart, Georgina Marjorie

subjects: Kaupapa Maori

abstract: This thesis investigates how Māori knowledge and language articulate with current discourses of Pūtaiao education, and possible alternative articulations. A Kaupapa Māori version of critical discourse analysis methodology is developed and applied to discourses relevant to Pūtaiao, or Māori-medium science education. This topic represents an intersection between language, science, education, and culture - fields which are all highly politically charged. Therefore, it is essential that a politically robust Kaupapa Māori position be taken in relation to the research topic. Not only the issues being investigated but the underlying research paradigm must be interrogated using Kaupapa Māori theory at each stage of the project.

The goal is to study the range of possible meanings for the notions of 'Pūtaiao' and 'Māori science' by exploring the relevant dialectical issues, critiquing the assumptions and positions taken on language, knowledge, identity and ethos, in order to inform further Pūtaiao curriculum development. The research project is a narration of the larger story of Pūtaiao education: what is the current situation, how did it come about, what theoretical issues have been influential in this process, and what possibilities are there for further development of Pūtaiao curriculum and pedagogy? 

The thesis research consists of a series of discourse analyses of varying levels of focus and intersection with Pūtaiao:
Wāhanga 1: Translated NCEA L1 science and mathematics examinations, and a traditional Taitokerau oral text;
Wāhanga 2: Māori science curriculum policy;
Wāhanga 3: Multicultural science education research;
Wāhanga 4: Curriculum politics, preventive linguistics, language of science;
Wāhanga 5: Mātauranga, rationality, philosophy of science.

Each analysis takes the form of a narrative history, based on a selected corpus of previously published scholarship (in Wāhanga 1, including numerical data and oral tradition) on the issue under examination, from a Kaupapa Māori perspective. Mainly in the first two chapters, analysis at times also draws on 'personal narrative' accounts of previously unpublished details relating to Pūtaiao.
 
Additionally, an investigation of various qualified notions of 'science' is undertaken, beginning in Wāhanga 2, concluding in Wāhanga 5, in order to explore the nature and boundaries of science as a system of knowledge, and its relationship to other types or systems of knowledge. 

Synopses are included of the following concepts and theoretical issues impacting on the discourses under analysis: 
Wāhanga 1: Ethnicity, 'race', critical theory, Kaupapa Māori theory. 
Wāhanga 2: Science, scientism, science ideology and anti-science.
Wāhanga 4: Identity, linguistic purism, the Sapir-Whorf hypothesis.

Informed by this research, in Wāhanga 5 an original model for the relationship between mātauranga and science is proposed, and the notion of Kaupapa Māori science/epistemology is explored. An analogy between the Sapir-Whorf hypothesis and multicultural science is used to draw together the cultural debates in language and knowledge, which are surmised to intersect at the level of discourse. 

The final chapter presents a re-articulation of Pūtaiao as the notion of Kaupapa Māori science education, and some recommendations for language and content knowledge in further development of Pūtaiao curriculum policy.

text: Kaupapa Māori Science This thesis investigates how Māori knowledge and language articulate with current discourses of Pūtaiao education, and possible alternative articulations. A Kaupapa Māori version of critical discourse analysis methodology is developed and applied to discourses relevant to Pūtaiao, or Māori-medium science education. This topic represents an intersection between language, science, education, and culture - fields which are all highly politically charged. Therefore, it is essential that a politically robust Kaupapa Māori position be taken in relation to the research topic. Not only the issues being investigated but the underlying research paradigm must be interrogated using Kaupapa Māori theory at each stage of the project.

The goal is to study the range of possible meanings for the notions of 'Pūtaiao' and 'Māori science' by exploring the relevant dialectical issues, critiquing the assumptions and positions taken on language, knowledge, identity and ethos, in order to inform further Pūtaiao curriculum development. The research project is a narration of the larger story of Pūtaiao education: what is the current situation, how did it come about, what theoretical issues have been influential in this process, and what possibilities are there for further development of Pūtaiao curriculum and pedagogy? 

The thesis research consists of a series of discourse analyses of varying levels of focus and intersection with Pūtaiao:
Wāhanga 1: Translated NCEA L1 science and mathematics examinations, and a traditional Taitokerau oral text;
Wāhanga 2: Māori science curriculum policy;
Wāhanga 3: Multicultural science education research;
Wāhanga 4: Curriculum politics, preventive linguistics, language of science;
Wāhanga 5: Mātauranga, rationality, philosophy of science.

Each analysis takes the form of a narrative history, based on a selected corpus of previously published scholarship (in Wāhanga 1, including numerical data and oral tradition) on the issue under examination, from a Kaupapa Māori perspective. Mainly in the first two chapters, analysis at times also draws on 'personal narrative' accounts of previously unpublished details relating to Pūtaiao.
 
Additionally, an investigation of various qualified notions of 'science' is undertaken, beginning in Wāhanga 2, concluding in Wāhanga 5, in order to explore the nature and boundaries of science as a system of knowledge, and its relationship to other types or systems of knowledge. 

Synopses are included of the following concepts and theoretical issues impacting on the discourses under analysis: 
Wāhanga 1: Ethnicity, 'race', critical theory, Kaupapa Māori theory. 
Wāhanga 2: Science, scientism, science ideology and anti-science.
Wāhanga 4: Identity, linguistic purism, the Sapir-Whorf hypothesis.

Informed by this research, in Wāhanga 5 an original model for the relationship between mātauranga and science is proposed, and the notion of Kaupapa Māori science/epistemology is explored. An analogy between the Sapir-Whorf hypothesis and multicultural science is used to draw together the cultural debates in language and knowledge, which are surmised to intersect at the level of discourse. 

The final chapter presents a re-articulation of Pūtaiao as the notion of Kaupapa Māori science education, and some recommendations for language and content knowledge in further development of Pūtaiao curriculum policy.

year: 2007