Language and literacy in mathematics: stepping stones or stumbling blocks in accelerating junior-secondary students

The authors have collaborated in the development and initial evaluation of a curriculum for mathematics acceleration. This paper reports upon the difficulties encountered with documenting student understanding using pen-and-paper assessment tasks. This leads to a discussion of the impact of students’ language and literacy on mathematical performance and the consequences for motivation and engagement as a result of simplifying the language in the tests, and extending student work to algebraic representations. In turn, implications are drawn for revisions to assessment used within the project and the language and literacy focus included within student learning experiences.

Use of genetic decompositions to scaffold the development of a structurally sequenced curriculum for mathematics acceleration

The authors have collaboratively used a graphical language to describe their shared knowledge of a small domain of mathematics, which has in turn scaffolded their re-development of a related curriculum for mathematics acceleration. This collaborative use of the graphical language is reported as a simple descriptive case study. This leads to an evaluation of the graphical language’s usefulness as a tool to support the articulation of the structure of mathematics knowledge. In turn, implications are drawn for how the graphical language may be utilised as the detail of the curriculum is further elaborated and communicated to teachers.

Young Children and the Environment : Early Education for Sustainability [2nd Edition]

This book is a practical resource that illustrates the difference that early childhood educators can make by working with children, their families and the wider community to tackle one of the most important contemporary issues facing the world today: sustainable living. This second edition has been substantially revised and updated, with a new section exploring sustainability education in a variety of global contexts. Researched and written by authors recognised as leaders in their own countries, the chapters in this new section provide readers with international resources and perspectives to further their teaching about early childhood education for sustainability.

Developing young students’ meta-representational competence through integrated mathematics and science investigations

This paper describes students’ developing meta-representational competence, drawn from the second phase of a longitudinal study, Transforming Children’s Mathematical and Scientific Development. A group of 21 highly able Grade 1 students was engaged in mathematics/science investigations as part of a data modelling program. A pedagogical approach focused on students’ interpretation of categorical and continuous data was implemented through researcher-directed weekly sessions over a 2-year period. Fine-grained analysis of the developmental features and explanations of their graphs showed that explicit pedagogical attention to conceptual differences between categorical and continuous data was critical to development of inferential reasoning.

Development of fourth-grade students’ understanding of experimental and theoretical probability

Students explored variation and expectation in a probability activity at the end of the first year of a 3-year longitudinal study across grades 4-6. The activity involved experiments in tossing coins both manually and with simulation using the graphing software, TinkerPlots. Initial responses indicated that the students were aware of uncertainty, although an understanding of chance concepts appeared limited. Predicting outcomes of 10 tosses reflected an intuitive notion of equiprobability, with little awareness of variation. Understanding the relationship between experimental and theoretical probability did not emerge until multiple outcomes and representations were generated with the software.

An Investigation into the Options for Increasing the Extent of Energy Efficiency Knowledge and Skills in Engineering Education

Society is increasingly calling for professionals across government, industry, business and civil society to be able to problem-solve issues related to climate change and sustainable development as part of their work. In particular there is an emerging realisation of the fundamental need to swiftly reduce the growing demand for energy across society, and to then meet the demand with low emissions options. A key ingredient to addressing such issues is equipping professionals with emerging knowledge and skills to address energy challenges in all aspects of their work. The Council of Australian Governments has recognised this need, signing the National Partnership Agreement on Energy Efficiency in July 2009, which included a commitment to assist business and industry obtain the knowledge, skills and capacity to pursue cost-effective energy efficiency opportunities.2 Engineering will play a critical part among the professions, with Engineers Australia acknowledging that, ‘The need to make changes in the way energy is used and supplied throughout the world represents the greatest challenge to engineers in moving toward sustainability.’

Arts education and iPads in the early years

This chapter takes as a working premise that digital culture is embedded in the every-day life experiences of most children living in post-industrial societies, both in home and, increasingly, in educational contexts. We outline how our research project investigated strategies for developing learning in the arts for young children by using the iPad as a creative device, rather than one on which they consume content in the form of games, on demand television and streaming video. We ask critical questions around creative ecologies and creative production; these grow from our observations on how young children and their families engaged with iPads through activities such as combining painting with digital photography. Analysis of work samples produced by children during the project enables interrogation of the ways in which young children can participate in arts practices and learning when digital media production is available. The chapter is structured around three themes of practice for iPad-based arts and creative education in preschool settings.

Drama, storymaking and iPads in the early years

In this chapter we consider how the iPad and selected applications such as Draw and Tell (Duck Duck Moose, 2013), Popplet (Notion Inc., 2013) and Puppet Pals (Polished Play LLC, 2013) can assist children in collaborative storying, retelling and sequencing story moments that can assist young children in their acquisition of oracy and their understanding of the world, both real and imagined, and their personal relationships. The data gathered from the project will also analysed through the lense of “critical and creative thinking” (ACARA, 2013, p.20-21) skills articulated as one of the general capabilities required in all subject areas of the Australian national curriculum, but which has particular application to The Arts subject areas. In this chapter, we consider artefacts created by preschool children using iPads and selected apps and interviews conducted with preschool children and their caregivers during our research project. We then offer examples of practice to assist preschool teachers in supporting children in their storymaking using the iPad and discuss approaches for engagement that twins the live and mediatised representation of a story.

In and out of preschool learning with iPads

In this chapter we describe and explain the ways we negotiated these same epistemological tensions and structural realities as we implemented the iPad loan component of the project reported in this book (hereafter: “iPad loan program”).Children who participated in the iPad loan program were able to take home one of the project iPads used in their preschool centre, much as they were able to take home books and puzzles. This component was one reflection of the ethos of “digital inclusion” that infused the project. As we noted in the introduction to this book, there is international recognition of the role that schools can play in ensuring all communities can participate in digital culture and the digital economy (e.g., European Commission, 2014; United States Government, 2013). Accordingly, we conducted the project in preschool centres where at least some groups of children were thought to enjoy less access to learning on digital platforms than others. Our goal was to put the iPad into the hands of children who might not otherwise have had access to it, while supporting teachers and parents in capitalising on the learning potential of the device for all the children. Centres nominated for the project by administrators in the preschool system all served communities that were either affected by poverty and/or diverse in language and culture.

Seeing it differently: physical education, teacher education and the possibilities of personal construct theory

The celebrated work of Lortie (1975) alerted teacher educators to the extended period of 'apprenticeship' that student teachers have been through before they arrive at teacher education programmes. The subjective implicit theories (Marland, 1992) developed by prospective teachers are shaped by their lifeworld experiences at school and in the case of physical education teachers, their experiences in sport. The biography of physical education teacher education (PETE) students tends to be characterised by ecto-mesomorphic individuals who have been socialised by the rigours of highly competitive sport (Gore, 1990; Macdonald, 1992; Rossi, 1996). We can add to this, the requirements of teacher preparation in physical education which for the most part are dominated by the traditions and rhetoric of the 'natural' bio-physical sciences; largely a legacy of Henry's (1964) work on physical education as an academic discipline, as well as that of Abernathy and Waltz the same year (Abernathy & Waltz, 1964). In the United Kingdom, Curl (1973) further advanced the argument in an attempt to justify human movement as an independent field of study with its own corpus of knowledge. It is little wonder then, that the dominant pedagogical discourse in physical education is, as Tinning (1991) discusses, one of performance pedagogy (see also Hendry, 1986 for an earlier discussion). The knowledge required to support such a discourse could be described as 'official' (Apple, 1993) and it assumes such status by virtue of the power appropriated by and bestowed upon the scientific community in PETE (Macdonald & Tinning, 1995; Sparkes, 1989, 1993). However, there are social reifiers too, and these tend to relate to the social construction of the body (Kirk, 1993; Kirk & Spiller, 1994; Gilroy, 1994) and what Tinning (1985) has termed the Cult of Slenderness. Furthermore the 'slender image' has become a signifier of 'good health'. This is inextricably linked to what might be considered as a health triplex—'exercise = fitness = health' (see Kirk & Colquhoun, 1989; Tinning & Kirk, 1991) which in Australia, underpins curriculum packages such as Daily Physical Education which teachers (often including physical education primary...

Children’s physical activity, health and physical education in isolated rural contexts : the views of parent educators in Queensland

This paper describes the views of parent educators of their children’s levels and types of physical activity. The study was conducted at two mini-schools in western Queensland. These are occasion where students who undertake formal education through various Schools Distance Education, come together for a week of educational activity. Parents (mostly mothers) were interviewed using a semi-structured approach. The interview data were then analysed for dominant themes using a constant comparison method. The emergent themes related to nutrition and physical activity. Within the physical activity theme, notions of the great outdoors, work and organised sport skill development also emerged.

Using personal construct theory and narrative methods to facilitate reflexive constructions of teaching physical education

This paper reports on two lengthy studies in Physical education teacher education (PETE) conducted independently but which are epistemologically and methodologically linked. The paper describes how personal construct theory (PCT) and its associated methods provided a means for PETE students to reflexively construct their ideas about teaching physical education over an extended period. Data are drawn from each study in the form of a story of a single participant to indicate how this came about. Furthermore we suggest that PCT might be both a useful research strategy and an effective approach to facilitate professional development in a teacher education setting.