Learning through modelling in the primary years

Many nations are highlighting the need for a renaissance in the mathematical sciences as essential to the well-being of all citizens (e.g., Australian Academy of Science, 2006; 2010; The National Academies, 2009). Indeed, the first recommendation of The National Academies’ Rising Above the Storm (2007) was to vastly improve K–12 science and mathematics education. The subsequent report, Rising Above the Gathering Storm Two Years Later (2009), highlighted again the need to target mathematics and science from the earliest years of schooling: “It takes years or decades to build the capability to have a society that depends on science and technology . . . You need to generate the scientists and engineers, starting in elementary and middle school” (p. 9). Such pleas reflect the rapidly changing nature of problem solving and reasoning needed in today’s world, beyond the classroom. As The National Academies (2009) reported, “Today the problems are more complex than they were in the 1950s, and more global. They’ll require a new educated workforce, one that is more open, collaborative, and cross-disciplinary” (p. 19). The implications for the problem solving experiences we implement in schools are far-reaching. In this chapter, I consider problem solving and modelling in the primary school, beginning with the need to rethink the experiences we provide in the early years. I argue for a greater awareness of the learning potential of young children and the need to provide stimulating learning environments. I then focus on data modelling as a powerful means of advancing children’s statistical reasoning abilities, which they increasingly need as they navigate their data-drenched world.

Robots, the internet and teaching history in the age of the NBN and the Australian curriculum

Have you ever wished you were Doctor Who and could pop yourself and your students into a Tardis and teleport them to an historical event or to meet a historical figure? We all know that unfortunately time travel is not (yet) possible, but maybe student and teacher teleportation just might be – sort of. Over the past few centuries and in lieu of time travel our communities have developed museums as a means of experiencing some of our history...

Challenges in embedding numeracy throughout the curriculum in three Queensland secondary schools

The new Australian Curriculum and national standardised testing have placed the teaching of numeracy across the curriculum at the forefront of what Australian schools must do. However, it has been left to schools to determine how they do this. Although there is a growing body of literature giving examples of pedagogies that embed numeracy in various learning areas, there are few studies of cross-curricular numeracy from the management perspective. This paper responds to the research question: How do selected Queensland secondary schools interpret and apply the Australian Curriculum requirement to embed numeracy throughout the curriculum? A multiple case study design was used to investigate the actions of the senior managers and mathematics teachers in three large secondary schools located in outer Brisbane. The numeracy practices in the three schools were interpreted from asocial constructivist perspective. The study found that in each school key managers had differing constructions of numeracy that led to confusion in administrative practices, policy development and leadership. The lack of coordinated cross-curricular action in numeracy in all three schools points to the difficulty that arises when teachers do not share the cross-curricular vision of numeracy present in the Australian Curriculum. The managers identified teachers’ commitment, understanding, or skills in relation to numeracy as significant barriers to the successful implementation of numeracy in their school. Adoption of the Australian Curriculum expectation of embedding numeracy across the curriculum will require school managers to explicitly commit to initiatives that require persistence,time and, most importantly, money.

Statistical literacy in the elementary school: Opportunities for problem posing

This chapter addresses opportunities for problem posing in developing young children’s statistical literacy, with a focus on student-directed investigations. Although the notion of problem posing has broadened in recent years, there nevertheless remains limited research on how problem posing can be integrated within the regular mathematics curriculum, especially in the areas of statistics and probability. The chapter first reviews briefly aspects of problem posing that have featured in the literature over the years. Consideration is next given to the importance of developing children’s statistical literacy in which problem posing is an inherent feature. Some findings from a school playground investigation conducted in four, fourth-grade classes illustrate the different ways in which children posed investigative questions, how they made predictions about their outcomes and compared these with their findings, and the ways in which they chose to represent their findings.

Problem solving in a 21st century mathematics curriculum

Research on problem solving in the mathematics curriculum has spanned many decades, yielding pendulum-like swings in recommendations on various issues. Ongoing debates concern the effectiveness of teaching general strategies and heuristics, the role of mathematical content (as the means versus the learning goal of problem solving), the role of context, and the proper emphasis on the social and affective dimensions of problem solving (e.g., Lesh & Zawojewski, 2007; Lester, 2013; Lester & Kehle, 2003; Schoenfeld, 1985, 2008; Silver, 1985). Various scholarly perspectives—including cognitive and behavioral science, neuroscience, the discipline of mathematics, educational philosophy, and sociocultural stances—have informed these debates, often generating divergent resolutions. Perhaps due to this uncertainty, educators’ efforts over the years to improve students’ mathematical problem-solving skills have had disappointing results. Qualitative and quantitative studies consistently reveal mathematics students’ struggles to solve problems more significant than routine exercises (OECD, 2014; Boaler, 2009)...

Bridging the gap: Curriculum practices in community language schools and their challenges

This study investigated curriculum practices in Queensland community language schools and how these practices are supported by government policy. The conceptual framework drew on theories of ethnolinguistic vitality and curriculum dimensions. The research design involved case studies of two community language schools of different sizes, using classroom observation and interviews. Cross–case analysis revealed contrasting curriculum practices determined by student enrolments, and different capacities to access and benefit from what policy support was available. This study offers some implications and possibilities to better support quality curriculum practices in community language schools.

Asia literate schooling in the Asian century [Book review]

In her introduction to this edited collection, Christine Halse lays out the purpose of the book as being about addressing three questions for education in contemporary times: What does Asia literacy mean?; Why is it important?; and How might or ought schools do Asia literacy? As a literacy educator it was these three questions that led to my interest in first reading and then reviewing the book. On numerous occasions I’ve felt the expectation that an expertise in Asia literacy should be a part of my toolbox. And yet I’ve always considered Asia literacy to be the responsibility of those who profess to know about – or have some expertise in – history, politics, or studies of society. But here was an edited collection with chapters from a variety of scholars who have informed my work over many years, framing schooling as a noun that could be described qualitatively as more or less Asia literate. As such, I took on the challenge to open up to these ideas and to the opportunity to think again about literacy and the use of this term in pairings such as Asia literacy. I had my own question to add to those of the editor. Can, or even should, literacy be used to describe the skills, capacities and understandings required for citizens to “reflect and explore cultural differences in the Asian region” (Asia Literacy Teachers’ Association of Australia, n.d.) in ways that support engagement within and with Asian peoples and their cultures?

Aaishah’s choice: Choosing home education in the Muslim community

In Australia, the decision to home educate is becoming increasingly popular (cf. Townsend, 2012). In spite of its increasing popularity, the reasons home education is chosen by Australian families is under-researched (cf. Jackson & Allan, 2010). In addition, the decision to home educate among minority groups, such as Australian Muslim families, is absent from the literature. This paper reports on an interview with one Muslim mother who chose to home educate her children. An in-depth, qualitative interview was conducted with Aaishah (pseudonym), a mother who lived in one of Australia’s most populated cities. Data were analysed using the Discourse Historical Approach to Critical Discourse Analysis. The analysis revealed that there were similarities between the discourses of Christian parents described in the literature, in terms of the reasons Aaishah had given for her decision to home educate. In particular, analysis reveals Aaishah’s fears about schools, their negative experiences on her children and her hopes for her children’s futures.

Techno Teacher Moms: Web 2.0 Connecting Mothers in the Home Education Community

Home education is on the rise in Australia. However, unlike parents who choose mainstream schooling, these parents often lack the support of a wider community to help them on their educational and parenting journey. This support is especially lacking as many people in the wider community find the choice to home education confronting. As such, these parents may feel isolated and alienated in the general population as their choice to home educate is questioned at best, and ridiculed at worst. These parents often find sanctuary online in homeschool groups on Facebook. This chapter explores the ways that Facebook Groups are used by marginalized and disenfranchised families who home educate to meet with others who are likeminded and aligned with their beliefs and philosophies. It is through these groups that parents, in relation to schooling it is especially mothers, are able to ask for advice, to vent, to explore options and find connections that may be lacking in the wider community.