title: Exploring synergies between Māori pedagogy and communicative language teaching

authors: Nock, Sophie

subjects: Māori language

abstract: The primary aim of this paper is to explore potential synergies between Māori pedagogy and what is known as 'communicative language teaching'. A brief outline of some changes and developments in approaches to language teaching and learning over the last few decades is followed by a summary of some of the main characteristics of communicative language teaching (CLT) and of different approaches to the conceptualization of Māori pedagogy. Some of the primary characteristics of communicative language teaching are then explored in the context of Māori pedagogy and it is argued that there are some important synergies between the two.

text: Exploring synergies between Māori pedagogy and communicative language teaching The primary aim of this paper is to explore potential synergies between Māori pedagogy and what is known as 'communicative language teaching'. A brief outline of some changes and developments in approaches to language teaching and learning over the last few decades is followed by a summary of some of the main characteristics of communicative language teaching (CLT) and of different approaches to the conceptualization of Māori pedagogy. Some of the primary characteristics of communicative language teaching are then explored in the context of Māori pedagogy and it is argued that there are some important synergies between the two.

year: 2008-11-30

title: The Te Aroha hot springs (mainly in the nineteenth century)

authors: Hart, Philip

abstract: Unique amongst New Zealand mining districts, the hot springs sited at the base of the mountain were popular with miners, residents, and an increasing number of visitors. Highly valued by Maori for their medicinal qualities, Pakeha visited them well before gold was discovered. Acquired by the Crown as part of the purchase of the Aroha Block, contention arose over whether the springs had been gifted to the Crown and whether Maori should be charged for using them. The provision of a small but free bath to Ngati Rahiri did not satisfy them.
 After Pakeha settled, the springs were developed and the surrounding domain was landscaped. Analysis of the water by experts produced claims about its curative qualities and many miracle cures were claimed, and the water was bottled until more recent analyses traced the existence of arsenic. Men reputedly skilled in hydropathy and similar ‘sciences’ were appointed to assist those suffering from rheumatism and the like. A local board beautified the area until the domain was taken over by the Tourist Department. Many tourists from throughout New Zealand and abroad were attracted by the facilities, which included a library, but some noticed a lack of cleanliness and were annoyed by larrikins. Despite such problems, as mining faded Te Aroha profited from becoming a tourist destination and sanatorium.

text: The Te Aroha hot springs (mainly in the nineteenth century) Unique amongst New Zealand mining districts, the hot springs sited at the base of the mountain were popular with miners, residents, and an increasing number of visitors. Highly valued by Maori for their medicinal qualities, Pakeha visited them well before gold was discovered. Acquired by the Crown as part of the purchase of the Aroha Block, contention arose over whether the springs had been gifted to the Crown and whether Maori should be charged for using them. The provision of a small but free bath to Ngati Rahiri did not satisfy them.
 After Pakeha settled, the springs were developed and the surrounding domain was landscaped. Analysis of the water by experts produced claims about its curative qualities and many miracle cures were claimed, and the water was bottled until more recent analyses traced the existence of arsenic. Men reputedly skilled in hydropathy and similar ‘sciences’ were appointed to assist those suffering from rheumatism and the like. A local board beautified the area until the domain was taken over by the Tourist Department. Many tourists from throughout New Zealand and abroad were attracted by the facilities, which included a library, but some noticed a lack of cleanliness and were annoyed by larrikins. Despite such problems, as mining faded Te Aroha profited from becoming a tourist destination and sanatorium.

year: 2016

title: Models of q-algebra representations: q-integral transforms and "addition theorems''

authors: Kalnins, Ernie G.

subjects: Mathematics

abstract: In his classic book on group representations and special functions Vilenkin studied the matrix elements of irreducible representations of the Euclidean and oscillator Lie algebras with respect to countable bases of eigenfunctions of the Cartan subalgebras, and he computed the summation identities for Bessel functions and Laguerre polynomials associated with the addition theorems for these matrix elements. He also studied matrix elements of the pseudo-Euclidean and pseudo-oscillator algebras with respect to the continuum bases of generalized eigenfunctions of the Cartan subalgebras of these Lie algebras and this resulted in realizations of the addition theorems for the matrix elements as integral transform identities for Bessel functions and for confluent hypergeometric functions. Here we work out q analogs of these results in which the usual exponential function mapping from the Lie algebra to the Lie group is replaced by the q-exponential mappings Eq and eq. This study of representations of the Euclidean quantum algebra and the q-oscillator algebra (not a quantum algebra) leads to summation, integral transform, and q-integral transform identities for q analogs of the Bessel and confluent hypergeometric functions, extending the results of Vilenkin for the q=1 case.

text: Models of q-algebra representations: q-integral transforms and "addition theorems'' In his classic book on group representations and special functions Vilenkin studied the matrix elements of irreducible representations of the Euclidean and oscillator Lie algebras with respect to countable bases of eigenfunctions of the Cartan subalgebras, and he computed the summation identities for Bessel functions and Laguerre polynomials associated with the addition theorems for these matrix elements. He also studied matrix elements of the pseudo-Euclidean and pseudo-oscillator algebras with respect to the continuum bases of generalized eigenfunctions of the Cartan subalgebras of these Lie algebras and this resulted in realizations of the addition theorems for the matrix elements as integral transform identities for Bessel functions and for confluent hypergeometric functions. Here we work out q analogs of these results in which the usual exponential function mapping from the Lie algebra to the Lie group is replaced by the q-exponential mappings Eq and eq. This study of representations of the Euclidean quantum algebra and the q-oscillator algebra (not a quantum algebra) leads to summation, integral transform, and q-integral transform identities for q analogs of the Bessel and confluent hypergeometric functions, extending the results of Vilenkin for the q=1 case.

year: 1994-04