title: Edwin Henry Hardy: a Waiorongomai mine owner

authors: Hart, Philip

abstract: Edwin Henry Hardy worked as a surveyor before going to England to study mining. Upon his return in 1896 he was a representative in Hauraki of English mining companies and supervised several Coromandel mines in addition to acquiring mines in several districts for overseas interests. In late 1898 he purchased the former Aroha Gold Mines’ property at Waiorongomai, which he developed using his own financial resources but probably backed by his wider family. Using his surveying skills, he traced a reef missed by previous owners, and commenced to develop the mines systematically. He also spent several years improving the battery, experimenting with new treatment processes and seeking a patent for a gold saving method.
Like all mine owners, Hardy tried to work his property as cheaply as possible, resulting in conflicts with the Thames High School and the county council as he tried to reduce costs. He proved to be very determined in his rows with those he considered his enemies. In addition to developing the Premier mine, profitably, he tested other ground, notable the Big Blow. He supervised both battery and mines, but as he did not have a mine manager’s certificate had to employ a series of managers for the latter. After obtaining a good return for several years, in 1904 he formed Hardy’s Mines Ltd, retaining a financial interest and for a time supervising its work before becoming involved with other mines and clashing with the company he had formed.
Hardy also held interests in mining companies in other districts. After leaving Waiorongomai, he settled in Te Kuiti and worked as a surveyor, a purchaser of Maori land, and a farmer. As at Coromandel and Waiorongomai, he was prominent in the local community, notably as a member of the borough council and Te Kuiti’s second mayor. Over time, his financial state deteriorated, partly through being involved with some very dubious businessmen and their schemes. In 1931 he returned to Waiorongomai to show his son Malcolm where he knew of some good ore, but died in dramatic circumstances before he could show him the location. 
For some time Hardy profited from mining, partly because he took over existing workings and partly because he was able to find ore that others had missed, but as with all mining, profits faded and he had to find other ways to earn a living. But compared with other mine owners at Waiorongomai, he was, for a time, very successful.

text: Edwin Henry Hardy: a Waiorongomai mine owner Edwin Henry Hardy worked as a surveyor before going to England to study mining. Upon his return in 1896 he was a representative in Hauraki of English mining companies and supervised several Coromandel mines in addition to acquiring mines in several districts for overseas interests. In late 1898 he purchased the former Aroha Gold Mines’ property at Waiorongomai, which he developed using his own financial resources but probably backed by his wider family. Using his surveying skills, he traced a reef missed by previous owners, and commenced to develop the mines systematically. He also spent several years improving the battery, experimenting with new treatment processes and seeking a patent for a gold saving method.
Like all mine owners, Hardy tried to work his property as cheaply as possible, resulting in conflicts with the Thames High School and the county council as he tried to reduce costs. He proved to be very determined in his rows with those he considered his enemies. In addition to developing the Premier mine, profitably, he tested other ground, notable the Big Blow. He supervised both battery and mines, but as he did not have a mine manager’s certificate had to employ a series of managers for the latter. After obtaining a good return for several years, in 1904 he formed Hardy’s Mines Ltd, retaining a financial interest and for a time supervising its work before becoming involved with other mines and clashing with the company he had formed.
Hardy also held interests in mining companies in other districts. After leaving Waiorongomai, he settled in Te Kuiti and worked as a surveyor, a purchaser of Maori land, and a farmer. As at Coromandel and Waiorongomai, he was prominent in the local community, notably as a member of the borough council and Te Kuiti’s second mayor. Over time, his financial state deteriorated, partly through being involved with some very dubious businessmen and their schemes. In 1931 he returned to Waiorongomai to show his son Malcolm where he knew of some good ore, but died in dramatic circumstances before he could show him the location. 
For some time Hardy profited from mining, partly because he took over existing workings and partly because he was able to find ore that others had missed, but as with all mining, profits faded and he had to find other ways to earn a living. But compared with other mine owners at Waiorongomai, he was, for a time, very successful.

year: 2016

title: Critical sets of full Latin squares

authors: Raass, Petelo Vaipuna

abstract: This thesis explores the properties of critical sets of the full n-Latin square and related combinatorial structures including full designs, (m,n,2)-balanced Latin rectangles and n-Latin cubes.

In Chapter 3 we study known results on designs and the analogies between critical sets of the full n-Latin square and minimal defining sets of the full designs.

Next in Chapter 4 we fully classify the critical sets of the full (m,n,2)-balanced Latin square, by describing the precise structures of these critical sets from the smallest to the largest.

Properties of different types of critical sets of the full n-Latin square are investigated in Chapter 5. We fully classify the structure of any saturated critical set of the full n-Latin square. We show in Theorem 5.8 that such a critical set has size exactly equal to n³ - 2n² - n. In Section 5.2 we give a construction which provides an upper bound for the size of the smallest critical set of the full n-Latin square. Similarly in Section 5.4, another construction gives a lower bound for the size of the largest non-saturated critical set. We conjecture that these bounds are best possible.

Using the results from Chapter 5, we obtain spectrum results on critical sets of the full n-Latin square in Chapter 6. In particular, we show that a critical set of each size between (n - 1)³ + 1 and n(n - 1)² + n - 2 exists.

In Chapter 7, we turn our focus to the completability of partial k-Latin squares. The relationship between partial k-Latin squares and semi-k-Latin squares is used to show that any partial k-Latin square of order n with at most (n - 1) non-empty cells is completable.

As Latin cubes generalize Latin squares, we attempt to generalize some of the results we have established on k-Latin squares so that they apply to k-Latin cubes. These results are presented in Chapter 8.

text: Critical sets of full Latin squares This thesis explores the properties of critical sets of the full n-Latin square and related combinatorial structures including full designs, (m,n,2)-balanced Latin rectangles and n-Latin cubes.

In Chapter 3 we study known results on designs and the analogies between critical sets of the full n-Latin square and minimal defining sets of the full designs.

Next in Chapter 4 we fully classify the critical sets of the full (m,n,2)-balanced Latin square, by describing the precise structures of these critical sets from the smallest to the largest.

Properties of different types of critical sets of the full n-Latin square are investigated in Chapter 5. We fully classify the structure of any saturated critical set of the full n-Latin square. We show in Theorem 5.8 that such a critical set has size exactly equal to n³ - 2n² - n. In Section 5.2 we give a construction which provides an upper bound for the size of the smallest critical set of the full n-Latin square. Similarly in Section 5.4, another construction gives a lower bound for the size of the largest non-saturated critical set. We conjecture that these bounds are best possible.

Using the results from Chapter 5, we obtain spectrum results on critical sets of the full n-Latin square in Chapter 6. In particular, we show that a critical set of each size between (n - 1)³ + 1 and n(n - 1)² + n - 2 exists.

In Chapter 7, we turn our focus to the completability of partial k-Latin squares. The relationship between partial k-Latin squares and semi-k-Latin squares is used to show that any partial k-Latin square of order n with at most (n - 1) non-empty cells is completable.

As Latin cubes generalize Latin squares, we attempt to generalize some of the results we have established on k-Latin squares so that they apply to k-Latin cubes. These results are presented in Chapter 8.

year: 2016

title: The Te Kotahitanga observation tool: Development, use, reliability and validity

authors: Berryman, Mere

subjects: School reform

abstract: Te Kotahitanga is a New Zealand school reform project aimed at improving the pedagogical contexts in mainstream classrooms in which the indigenous Māori students have traditionally been marginalised. It does this by assisting teachers to implement an Effective Teaching Profile. Part of this process uses an observation tool to monitor the degree to which participating teachers are incorporating the interactions and relationships described in the Effective Teaching Profile into their day-to-day teaching. Given the central importance of these tasks, the Te Kotahitanga team undertook to test the observation tool for measurement reliability and validity. In order to undertake this study, the team conducted synchronous observations amongst trainers (the Professional Development Coordinator and Regional Coordinators) to ascertain their level of consistency when using the tool. The team then conducted synchronous observations between trainers and 38 in-school facilitators in the 12 schools involved in Phase 3 of the project. In total 41 teachers were observed and over 200 Māori students were involved in these observations. This study suggests that the tool can produce consistent and reliable results when observers have been effectively trained.

text: The Te Kotahitanga observation tool: Development, use, reliability and validity Te Kotahitanga is a New Zealand school reform project aimed at improving the pedagogical contexts in mainstream classrooms in which the indigenous Māori students have traditionally been marginalised. It does this by assisting teachers to implement an Effective Teaching Profile. Part of this process uses an observation tool to monitor the degree to which participating teachers are incorporating the interactions and relationships described in the Effective Teaching Profile into their day-to-day teaching. Given the central importance of these tasks, the Te Kotahitanga team undertook to test the observation tool for measurement reliability and validity. In order to undertake this study, the team conducted synchronous observations amongst trainers (the Professional Development Coordinator and Regional Coordinators) to ascertain their level of consistency when using the tool. The team then conducted synchronous observations between trainers and 38 in-school facilitators in the 12 schools involved in Phase 3 of the project. In total 41 teachers were observed and over 200 Māori students were involved in these observations. This study suggests that the tool can produce consistent and reliable results when observers have been effectively trained.

year: 2015