Mapping variation in children’s mathematical reasoning: the case of ‘what else belongs?’

Explaining appears to dominate primary teachers’ understanding of mathematical reasoning when it is not confused with problem solving. Drawing on previous literature of mathematical reasoning, we generate a view of the critical aspects of reasoning that may assist primary teachers when designing and enacting tasks to elicit and develop mathematical reasoning. The task used in this study of children’s reasoning is a number commonality problem. We analysed written and verbal samples of reasoning gathered from children in grades 3 and 4 from three primary schools in Australia and one elementary school in Canada to map the variation in their reasoning. We found that comparing and contrasting was a critical aspect of forming conjectures when generalising in this context, an action not specified in frameworks for generalising in early algebra. The variance in children’s reasoning elicited through this task also illuminated the difference between explaining and justifying.

Developing a measure to understand young children’s internet cognition and cyber-safety awareness: a pilot test

Advancements in technology have increased preschool children’s access to the Internet. Very little research has been conducted to identify pre-school-aged children’s understandings of the Internet and ramifications of being ‘online’. Without an understanding of children’s thinking about the Internet, it is difficult to provide age and pedagogically appropriate cyber-safety education. This study developed and pilot-tested an interview schedule that focuses on the Internet thinking and cyber-safety awareness of Australian children aged 4–5 years. The schedule is informed by sociocultural theory, cyber-safety education research and approaches for researching with young children. The schedule shows potential to elicit children’s understandings of the Internet and cyber-safety awareness. Adjustments are required to allow more contextualised responses from children.

Primary teachers notice the impact of language on children’s mathematical reasoning

Mathematical reasoning is now featured in the mathematics curriculum documents of many nations, but this necessitates changes to teaching practice and hence a need for professional learning. The development of children’s mathematical reasoning requires appropriate encouragement and feedback from their teacher who can only do this if they recognise mathematical reasoning in children’s actions and words. As part of a larger study, we explored whether observation of educators conducting mathematics lessons can develop teachers’ sensitivity in noticing children’s reasoning and consideration of how to support reasoning. In the Mathematical Reasoning Professional Learning Research Program, demonstration lessons were conducted in Australian and Canadian primary classrooms. Data sources included post-lesson group discussions. Observation of demonstration lessons and engagement in post-lesson discussions proved to be effective vehicles for developing a professional eye for noticing children’s individual and whole-class reasoning. In particular, the teachers noticed that children struggled to employ mathematical language to communicate their reasoning and viewed limitations in language as a major barrier to increasing the use of mathematical reasoning in their classrooms. Given the focus of teachers’ noticing of the limitations in some types of mathematical language, it seems that targeted support is required for teachers to facilitate classroom discourse for reasoning.

Curriculum as colour and curves: a synthesis of Black theory, design and creativity realised as critical curriculum writing

This article looks to three inspirational Black women, bell hooks, Stacey McBride-Irby and Patricia Williams, in the pursuit of radical curriculum. While today curriculum is critiqued as racialised, gendered, sexualised and classed, the formats of curriculum documents such as text books, units of work and lesson plans have changed little. These documents are often conceived as linear sequences of steps leading to outcomes, and their voices are distanced and ‘neutral’. Drawing on a doctoral study of curriculum design in Australia, this article embraces a different approach by opening up a unit of work on girls’ popular culture to hooks’ invocations to teach to transgress, so that curriculum might be experienced as colour and curves, rather than a monochrome route to a pre-determined end point. Through this, along with hooks, I invite teachers to live pedagogy, rather than to deliver it.

Creativity: transgression or higher purpose

Modernity is characterized by the fragmentation of our social world, desacralization of institutional life and the relativisation and individualization of our moral perspectives. Such processes undermine and destabilize our sense of shared common values in a society.

Supporting children’s self-regulation: ages up to 3 years

An on-line learning Module for early childhood education and care professionals

Belonging as a force of agency : an exploration of immigrant children’s everyday life in early childhood settings

The notion of agency is being used with increasing frequency in early childhood policies, replacing traditional assumptions about young children’s immaturity and their role as mere recipients of adults’ arrangements. Agency is thus both an educational aspiration as well as a signifier of a strong rights-based political commitment to countering views of children as immature and incompetent. This article develops the argument that agency is inherently a sociocultural product that is driven by children’s clear attempts to bond with others and to develop a sense of belonging. Using examples of the everyday experiences of two Chinese immigrant children in an early childhood centre, the article considers ways in which agency was exercised by the children in an unfamiliar sociocultural setting because they wanted to belong. Some crucial issues are highlighted for practice and policy development in the area of immigrant children’s education, arguing that the shaping of early childhood education requires an attention to children’s ‘invisible’ capabilities, needs to belong and ‘small’ everyday life realities.

The complexity of preschool children’s dramatic play behaviour and play styles in Australia: a mixed methods study

Dramatic play is recognised as an important source of learning and development for preschool children, yet there are increasing reports that the quality of dramatic play is declining. This paper aims to report on the findings of a mixed method study that examined the constructs of Australian preschool children’s dramatic play behaviour. Video observations and the Smilansky Scale for the Evaluation of Dramatic and Socio-Dramatic Play (Smilanksy & Shefatya, 1990) were used with 101 preschool children aged 4 to 6 years in selected early childhood educational settings in Melbourne, Australia. Findings reveal that the overall level of children’s dramatic play behaviour was low. A typology of four play styles will be presented. Implications on educators’ pedagogy are discussed.

A pedagogy for outreach activities in ICT : promoting peer to peer learning, creativity and experimentation

The importance of integrating technology into the classroom has become a priority atmo st levels of the curriculum in many countrie s around the world. Th is paper draws onthe evaluation and research that informed four outreach programs. The authorsacknowledge that teachers are generally time poor and often have limited informationand communication technology (ICT) skills and confidence, while students have skillsand knowledge in ICT that often go untapped in the classroom. They present acurriculum that promoted peer to peer learning and support for teachers. This is amodel of pedagogy for outreach that promotes a community of learners between ICTteachers, generalist teachers and preservice teachers while promoting socio-culturalstudent led learning practices in the classroom.

Curriculum as colour and curves: a synthesis of black theory, design and creativity realised as critical curriculum writing

This article looks to three inspirational Black women, bell hooks, Stacey McBride-Irby and Patricia Williams, in the pursuit of radical curriculum. While today curriculum is critiqued as racialized, gendered, sexualised and classed, the formats of curriculum documents such as text books, units of work and lesson plans have changed little. These documents are often conceived as linear sequences of steps leading to outcomes, and their voices are distanced and “neutral”. Drawing on a doctoral study of curriculum design in Australia, this article embraces a different approach by opening up a unit of work on girls’ popular culture to hooks’ invocations to teach to transgress, so that curriculum might be experienced as colour and curves, rather than a monochrome route to a pre-determined end point. Through this, along with hooks, I invite teachers to live pedagogy, rather than to deliver it.

Supporting children’s resilience: early childhood educator understandings

THIS PAPER HAS TWO AIMS. First, it examines how children's resilience is being defined and discussed in literature, and second, it presents findings from a small-scale study that investigated ·early childhood educator understandings of children's resilience across the curriculum. Considering resilience as a multifaceted construct, the authors question why children's resilience should be a focus for educator practice and how research literature is portraying the role of educators in supporting children to become resilient. The findings illustrate that educators in the study had varied understandings of the notion of resilience and how to support children's resilience. Spontaneous and unplanned teaching strategies were revealed as the educators' main approach of supporting children's resilience. There was also some uncertainty about how to identify resilience according to educators in the study. The study's findings raise critical implications and questions for the early childhood sector, one of these being: Is the fostering and supporting of children's resilience too important an educational issue to be left to the fate of spontaneous incidents to arise in practice?

Unsettling creativity: intercultural spaces, study abroad and internationlization beyond the curriculum

This chapter argues that short-term student Study Tours, coupled with preparatory and reflective classes on the home campus, are a more successful way of internationalizing the curriculum and promoting intercultural reflection than the more traditional, longer term student exchange. This is because taking students out of their comfort zones to travel overseas in a study intensive promotes greater ‘productive discomfort’ while supporting this process with classes on the home campus promotes its life changing effects.This chapter draws on two important Study Tours in Creative Writing and Creative and Commercial Entrepreneurship at Deakin University, Australia. The first is an outbound Study Tour to the United States and the second is an inbound Study Tour from India. These Study Tours foreground an important ‘unsettling’ of creativity that impacts on the students’ thinking and writing processes, and prepares them most effectively for their role as global citizens.

Legitimising children’s evidence: Inclusive participatory research with children with disability

Achieving human rights is at the core of development outcomes, and the achievement of positive development outcomes increasingly relies on evidence-based policy and practice. However, people with disability have been routinely excluded from research evidence and knowledge production, both due to a lack of interest in their issues (Yeo and Moore, 2003) and through an over-reliance on research design that does not address barriers to their participation as research respondents (Wilson et al. 2013). Children with disability are even more marginalised from participation in knowledge production processes and have been passively subjected to research being conducted on or about them, rather than with them (Gray and Winter 2011a). This exclusion is even more evident in developing countries of the global south though with some rare exceptions (Kembhavi and Wirz, 2009; Singal, 2010; Wickenden and Kembhavi- Tam, 2014; Don et al, 2015; Nguyen et al, 2015). This paper reports on the ‘Voices of Pacific Children with Disability’ project (hereafter referred to as the Voices project) which, drawing on the broader field of child participatory research, developed a method for children with disability to competently provide evidence about their needs, aspirations and human rights priorities. Eighty-nine children with disability living in rural and urban areas of Vanuatu and Papua New Guinea (PNG) participated, using a suite of data collection ‘tools’ designed to support children to express their life priorities and human rights’ needs. In this paper we examine a sub-set of this data related to children’s future priorities, the primary one being employment, and explore the utility of such evidence for governments, NGOs and other stakeholders, in shaping policy and service delivery in line with the rights of children with disability. Such data is important when working in an evidence informed way as often these organisations have limited data on the needs and values of the groups they serve.