title: Te tuangi (the clam): A metaphor for teaching, learning and the key competencies

authors: Simpson, Mary Louisa

subjects: Early childhood

abstract: This article explores the shift from “essential skills” to “key competencies” in the school curriculum. Drawing on information gathered from teacher interviews and observations at a New Zealand primary school, this article suggests that culture and context strongly shape and influence the interpretation of key competencies. The authors develop a metaphor—te tuangi—to theorise the relationship between a learner (akonga) and a teacher (kaiako) in a cultural and social context.

text: Te tuangi (the clam): A metaphor for teaching, learning and the key competencies This article explores the shift from “essential skills” to “key competencies” in the school curriculum. Drawing on information gathered from teacher interviews and observations at a New Zealand primary school, this article suggests that culture and context strongly shape and influence the interpretation of key competencies. The authors develop a metaphor—te tuangi—to theorise the relationship between a learner (akonga) and a teacher (kaiako) in a cultural and social context.

year: 2011

title: Listening to the Winds of Change: Assessing culturally responsive and relational pedagogy

authors: Thin-Rabb, Polly

subjects: Culturally responsive and relational pedagogy

abstract: This thesis examines how the Rongohia te Hau tools were used to capture a snapshot of the extent that culturally responsive and relational pedagogies were occurring within classrooms in two English-medium secondary schools in Aotearoa, New Zealand. In this study, school leaders used Rongohia te Hau to measure changes in the educational experiences of Māori learners over twelve to eighteen-months, to prioritise next steps in addressing the educational inequities that were evident. 

With the contribution of teachers, leaders and kaitoro (Kia Eke Panuku facilitators), this research investigates the purpose and place of Rongohia te Hau within the Kia Eke Panuku professional learning and development context. It also presents and discusses the pedagogical shifts that occurred in these two schools over the period of this research, as evidenced by quantitative and qualitative Rongohia te Hau data. Furthermore, the learning implications that arose out of this research are analysed to help generate new questions and considerations, to enable continuing conversations for these schools, other schools, professional learning and development providers and researchers.

text: Listening to the Winds of Change: Assessing culturally responsive and relational pedagogy This thesis examines how the Rongohia te Hau tools were used to capture a snapshot of the extent that culturally responsive and relational pedagogies were occurring within classrooms in two English-medium secondary schools in Aotearoa, New Zealand. In this study, school leaders used Rongohia te Hau to measure changes in the educational experiences of Māori learners over twelve to eighteen-months, to prioritise next steps in addressing the educational inequities that were evident. 

With the contribution of teachers, leaders and kaitoro (Kia Eke Panuku facilitators), this research investigates the purpose and place of Rongohia te Hau within the Kia Eke Panuku professional learning and development context. It also presents and discusses the pedagogical shifts that occurred in these two schools over the period of this research, as evidenced by quantitative and qualitative Rongohia te Hau data. Furthermore, the learning implications that arose out of this research are analysed to help generate new questions and considerations, to enable continuing conversations for these schools, other schools, professional learning and development providers and researchers.

year: 2017

title: Lie theory and separation of variables. 6. The equation iUt + ∆2U = 0

authors: Boyer, C.P.

subjects: Mathematics

abstract: This paper constitutes a detailed study of the nine−parameter symmetry group of the time−dependent free particle Schrödinger equation in two space dimensions. It is shown that this equation separates in exactly 26 coordinate systems and that each system corresponds to an orbit consisting of a commuting pair of first− and second−order symmetry operators. The study yields a unified treatment of the (attractive and repulsive) harmonic oscillator, linear potential and free particle Hamiltonians in a time−dependent formalism. Use of representation theory for the symmetry group permits simple derivations of addition and expansion theorems relating various solutions of the Schrödinger equation, many of which are new.

text: Lie theory and separation of variables. 6. The equation iUt + ∆2U = 0 This paper constitutes a detailed study of the nine−parameter symmetry group of the time−dependent free particle Schrödinger equation in two space dimensions. It is shown that this equation separates in exactly 26 coordinate systems and that each system corresponds to an orbit consisting of a commuting pair of first− and second−order symmetry operators. The study yields a unified treatment of the (attractive and repulsive) harmonic oscillator, linear potential and free particle Hamiltonians in a time−dependent formalism. Use of representation theory for the symmetry group permits simple derivations of addition and expansion theorems relating various solutions of the Schrödinger equation, many of which are new.

year: 1975-03