title: Session 6: The eight lakes of Tarawera- Introduction

authors: Webber, Warren

abstract: Introduction of Session 6: The eight lakes of Tarawera

text: Session 6: The eight lakes of Tarawera- Introduction Introduction of Session 6: The eight lakes of Tarawera

year: 2017

title: Scoping the meaning of 'critical' in mathematical thinking for Initial Teacher Education

authors: Furness, Jane Amanda

abstract: Current strong emphasis on literacy and numeracy in New Zealand educational policy, as elsewhere, reverberates in different ways in institutions charged with children's and adults' learning. A common response is to locate literacy and numeracy centrally in programmes aimed at preparing children for and enhancing adult participation in 21st century life and work. One place these agendas overlap is in preservice teacher education or Initial Teacher Education (ITE). Preservice teachers enter their ITE programmes as adult learners engaged in building literacy and numeracy knowledge and skills for teaching across the curriculum, working with student achievement data and administration, aspects of which may also be useful in their wider lives. These tasks also involve making judgements which require critical thinking, another key policy focus in New Zealand and internationally for children's and adults' learning. As part of a project in which a group of researchers are exploring mathematical thinking and reasoning in initial teacher education (MARKITE) the researchers included critical awareness as one of three dimensions in their definition of mathematical thinking. As the project has progressed our interest in the notion of criticality in mathematics education and its implications for mathematical thinking in the context of the needs of 2 1st century citizens has grown. We have set out in this paper to illuminate what 'critical' in mathematical thinking could mean and what we mean by it in our project. Our aim in this reflective undertaking is to shed light on options and elaborate why we believe developing criticality is important in initial teacher education.
The primary mode of inquiry was a literature search, covering critical theory and critical literacy, critical mathematics and various definitions of mathematics education (critical numeracy, data literacy and quantitative literacy). Next we reviewed current thinking on the context in which ITE takes place, in particular the needs of democratic citizens in the 2 1st century. Ideas gleaned from these documents have been analysed against the Key Competencies Framework and other policy and implementation documents to consider how what is suggested as important in the Mathematics and Statistics learning area (MOE, 2007) provides grounds for the development of criticality in the identification and use of mathematical thinking across an ITE programme. In this examination we were cognisant of the increasing demand for (quantitative) data use in schools.
Our investigations are drawing us towards conclusions that favour quite classic critical theory applications (Freire, 1974), which we see also reflected in current works which explore the link between mathematics and the globally experienced social and environmental conditions of the present and the future (e.g. Atweh & Brady, 2009; Greer & Skovsmose, 2012). Mathematics is deeply involved in framing understanding and solving social, economical and environmental problems. To date we have found very little literature that focuses on the nature of and how to develop student teachers' mathematical thinking beyond a focus on curriculum mathematics. In the National Standards, we find the stem for criteria include a focus on context and problem solving. This creates the potential for critical engagement with the mathematical ideas embedded in real world problems and solutions. However the exemplifications of the standards do not encompass pressing social issues. 
This work brings together current thinking about criticality and critical mathematics/mathematics education in a first attempt to put forward a useful understanding of critical mathematical thinking for ITE. It also brings to the attention of educators the role of mathematics in critical democratic citizenship, alongside the more commonplace focus on critical literacy. The kinds of critical mathematical thinking we have become more specifically interested in are those that enable the inclusion of different culturally based world views am actions, equitable participation and outcomes, and so, justice for all citizens. We propose that the develop in preservice teachers of capacity for critical mathematical thinking is a crucial component of ITE, especially in these times of significant global change which mathematics plays a central yet often hidden re-Critical mathematical thinking holds the potential to facilitate teachers to work actively in pursuit of an inclusive, socially just world.

text: Scoping the meaning of 'critical' in mathematical thinking for Initial Teacher Education Current strong emphasis on literacy and numeracy in New Zealand educational policy, as elsewhere, reverberates in different ways in institutions charged with children's and adults' learning. A common response is to locate literacy and numeracy centrally in programmes aimed at preparing children for and enhancing adult participation in 21st century life and work. One place these agendas overlap is in preservice teacher education or Initial Teacher Education (ITE). Preservice teachers enter their ITE programmes as adult learners engaged in building literacy and numeracy knowledge and skills for teaching across the curriculum, working with student achievement data and administration, aspects of which may also be useful in their wider lives. These tasks also involve making judgements which require critical thinking, another key policy focus in New Zealand and internationally for children's and adults' learning. As part of a project in which a group of researchers are exploring mathematical thinking and reasoning in initial teacher education (MARKITE) the researchers included critical awareness as one of three dimensions in their definition of mathematical thinking. As the project has progressed our interest in the notion of criticality in mathematics education and its implications for mathematical thinking in the context of the needs of 2 1st century citizens has grown. We have set out in this paper to illuminate what 'critical' in mathematical thinking could mean and what we mean by it in our project. Our aim in this reflective undertaking is to shed light on options and elaborate why we believe developing criticality is important in initial teacher education.
The primary mode of inquiry was a literature search, covering critical theory and critical literacy, critical mathematics and various definitions of mathematics education (critical numeracy, data literacy and quantitative literacy). Next we reviewed current thinking on the context in which ITE takes place, in particular the needs of democratic citizens in the 2 1st century. Ideas gleaned from these documents have been analysed against the Key Competencies Framework and other policy and implementation documents to consider how what is suggested as important in the Mathematics and Statistics learning area (MOE, 2007) provides grounds for the development of criticality in the identification and use of mathematical thinking across an ITE programme. In this examination we were cognisant of the increasing demand for (quantitative) data use in schools.
Our investigations are drawing us towards conclusions that favour quite classic critical theory applications (Freire, 1974), which we see also reflected in current works which explore the link between mathematics and the globally experienced social and environmental conditions of the present and the future (e.g. Atweh & Brady, 2009; Greer & Skovsmose, 2012). Mathematics is deeply involved in framing understanding and solving social, economical and environmental problems. To date we have found very little literature that focuses on the nature of and how to develop student teachers' mathematical thinking beyond a focus on curriculum mathematics. In the National Standards, we find the stem for criteria include a focus on context and problem solving. This creates the potential for critical engagement with the mathematical ideas embedded in real world problems and solutions. However the exemplifications of the standards do not encompass pressing social issues. 
This work brings together current thinking about criticality and critical mathematics/mathematics education in a first attempt to put forward a useful understanding of critical mathematical thinking for ITE. It also brings to the attention of educators the role of mathematics in critical democratic citizenship, alongside the more commonplace focus on critical literacy. The kinds of critical mathematical thinking we have become more specifically interested in are those that enable the inclusion of different culturally based world views am actions, equitable participation and outcomes, and so, justice for all citizens. We propose that the develop in preservice teachers of capacity for critical mathematical thinking is a crucial component of ITE, especially in these times of significant global change which mathematics plays a central yet often hidden re-Critical mathematical thinking holds the potential to facilitate teachers to work actively in pursuit of an inclusive, socially just world.

year: 2015

title: Kaum tuatanga the changing roles of kaum tua in Ng ti Rehua: Future directions

authors: Davies, Sydney Henare

subjects: Indigenous psychology

abstract: This study looks at the roles of kaum tua and investigates how these roles have changed over time. With the ageing Māori population and the reported importance of kaum tua roles in the wellbeing of Māori communities, the findings of this study provide an insight into the possible future direction of these roles. The study was conducted with the assistance of members of one hapu (N=47) that were 65 years of age and over. The study was by interview, utilising a semi-structured questionnaire with both open ended and closed questions. Narratives from participants was analysed and compared to the roles of kaum tua that were found in the literature, namely; Leadership, cultural knowledge, dispute resolution, protection and nurturing of young, provide spiritual and other guidance, social control, provide rituals, preserve te reo Māori and live active and healthy lives. Findings of this research supported the roles found in the literature. The roles of kaum tua still exist but may have diminished over time. The change in roles is in the adaptation to meet the needs of the time period while maintaining the core values of each role and providing a continuation of practices.

text: Kaum tuatanga the changing roles of kaum tua in Ng ti Rehua: Future directions This study looks at the roles of kaum tua and investigates how these roles have changed over time. With the ageing Māori population and the reported importance of kaum tua roles in the wellbeing of Māori communities, the findings of this study provide an insight into the possible future direction of these roles. The study was conducted with the assistance of members of one hapu (N=47) that were 65 years of age and over. The study was by interview, utilising a semi-structured questionnaire with both open ended and closed questions. Narratives from participants was analysed and compared to the roles of kaum tua that were found in the literature, namely; Leadership, cultural knowledge, dispute resolution, protection and nurturing of young, provide spiritual and other guidance, social control, provide rituals, preserve te reo Māori and live active and healthy lives. Findings of this research supported the roles found in the literature. The roles of kaum tua still exist but may have diminished over time. The change in roles is in the adaptation to meet the needs of the time period while maintaining the core values of each role and providing a continuation of practices.

year: 2008