Two of everything: developing functional thinking in the primary grades through children's literature

Traditionally algebra has been regarded as the domain of the secondary school years in Australia and many other countries. Non-mathematics teachers, parents and students often narrowly regard algebra as the manipulation of symbols adhering to tightly prescribed rules (Serow, Callingham & Muir, 2013). It is now recognised, however, that foundational ideas associated with algebraic thinking can, and should be, included in mathematics curricula in the pre-school and primary years (Bobis, Mulligan & Lowrie, 2009). This stance is reflected in the Australian Curriculum: Mathematics (Australian Curriculum Assessment & Reporting Authority, 2012) which extends key algebraic ideas to patterns and generalisations, and acknowledges that number and algebra are developed together as each enriches the study of the other. This article explores the concept of functional thinking and demonstrates how the story, ‘Two of Everything’ (Hong, 1993) is employed as a springboard for developing functional thinking with students from the early years through to upper primary schooling.

Practice teaching in the Republic of the Maldives : issues and challenges

Practicum is an important but challenging part of primary teacher education especially in developing countries like the Republic of the Maldives where the effectiveness of practicum can be impeded by geographical distance, isolation, levels of teacher expertise, and by a highly structured system of primary schooling and teacher education. The current paper reports on a study of beginning teachers in their first year of full-time teaching practice and their perceptions of the effectiveness of their practicum experiences during their teacher training both generally and in terms of developing desirable teaching competencies. Teachers reported that their relationship with school and academic staff was one of the most effective and positive features of practice teaching but reported less positively on the processes used to assess and evaluate students during their teaching practice.

Does education reduce income inequality? A meta-regression analysis

This paper reexamines the effects of education on inequality through a comprehensive meta-regression analysis of the extant empirical literature. We find that education affects the two tails of the distribution of income: Education reduces the income share of top earners and increases the share of the bottom earners. Education has been particularly effective in reducing inequality in Africa. Some of the results suggest that secondary schooling appears to have a stronger effect than primary schooling, though this finding is not always robust. The heterogeneity in reported estimates can be largely explained by differences in the specification of the econometric model and measure of inequality and education. © 2013 John Wiley & Sons Ltd.

Renewing assessment practices: literacy teaching and learning in digital environments

Interpretations of “literacy” and approaches to literacy pedagogy and assessment are under renewal as meaning-making and learning are increasingly situated in digitized environments. While the implications of these shifts are in part technological, they are also relational, as students are increasingly positioned as interactive with participatory roles in self-knowledge and increased responsibility for their learning. However, while shifts are occurring in understandings of literacy and approaches to literacy pedagogy, the same cannot be said for the way in which assessments of digital literacies are undertaken. There is a lack of valid, reliable, and practical assessments of new literacies to inform and help students to become better prepared for study, work, and citizenship in digital environments. This article maps five characteristics of effective formative assessment in print-based classrooms with seven affordancesin digital learning and assessment to suggest an analytical framework for examining teacher and student assessment in digital environments. Drawing on data from a research project in which a team of teachers introduced a one-to-one computing program and worked to renew their literacy assessment practices, this article discusses how each of the seven affordances are enacted in the assessment practices in a years five and six primary school classroom. The findings from this research project show that educational technologies have the potential to enable new approaches to teaching, learning, and assessment that better align with the needs of twenty-first century literacy learners. The findings alsosupport approaches to formative assessment that value print and multimodality and engage students in more flexible and differentiated ways. They can enable teachers and students to be re-positioned as designers, knowledge producers, and collaborative learners. The seven affordances provide a framework that holds rich possibilities for teacher learning and planning as prompts to support reflection on formative assessment practices, critique habitual practices, and considernew opportunities.

Changes to (primary) school recess and their effect on children's physical activity: an Australian perspective

Headlines greet us on almost a daily basis lamenting the declining health of Australian children. They are said to be inactive, unfit, overweight and lacking in fundamental motor skills. It is a disturbing picture. Calls have gone out to parents to encourage their children to be more active and for schools to counter these problems by allocating more time to sport and physical education however, in both instances, there are particular problems to be addressed. One aspect of schooling that is rarely considered in discussions about how to increase children's activity levels is recess. This article examines the problems facing physical education and offers some suggestions as to how schools might preserve and promote physical activity during recess breaks.

Community leaders' views of the purposes of science in the compulsory years of schooling

Accepting that scientific literacy is the primary purpose of science in the compulsory years of schooling leads to the question 'What does scientific literacy mean in a particular community?' This paper reports a study designed to provide some insight into that question. Data were gathered through interviews with a sample of community leaders, in the state of Victoria, Australia, about their views of the purposes of school science.

The data reveal that, although most of those interviewed had no formal post-school science education, their life experiences provided them with useful insights into the question raised. The wisdom of such people could make an important contribution during the initial stages of curriculum development in science.

As people successful in their own fields, the study participants were lifelong learners. Consequently, their responses suggest that a primary focus of school science must be to provide students with a framework that will enable them to continue learning beyond schooling. This is not just a matter of knowledge or skills, but of feeling comfortable with science.

The methods used provide a useful example of how views about education can be gathered from thoughtful, non-expert community members. In this instance, they allowed a reconceptualization of the purposes of school science. These community leaders argued for an education for 'science in life' rather than an education about science.

Effective mathematics learning environments : primary teachers' beliefs and practices

A first priority for changing teaching practice is to make problematic for teachers aspects of their current practice. As part of a project on improving mathematics and science teaching in the middle years of schooling, teachers were asked to rate their practice against components of effective teaching and learning and to rate each of these according to their perceived importance. Findings suggest that primary teachers endorsed the components as representing effective practice, scoring most components higher than their actual practice. Gaps were particularly evident for items relating to challenging students conceptually and higher-order thinking, with these becoming the basis for some of the action planning for change.

Fun or profit : primary students' perceptions of mathematics and science

As the number of students pursuing mathematics and science in higher education decline, it becomes imperative· that we look for the causes of the decline. As part of the Australian Improving Middle Years Mathematics and Science (IMYMS) project, students were asked to rate their perceptions of classroom practice in mathematics and science and their attitudes to these subjects. Results of this survey reveal little difference in perceptions of classroom practice, but significant differences in students' attitudes between mathematics and science. Differences were particularly evident for items relating to the usefulness of mathematics and science (mathematics was more useful) and enjoyment of the subjects (science is more fun). If teachers are aware of such perspectives, it may be possible to change students' attitudes.

Effective student engagement depends on students enjoying their studies in mathematics and science, being confident in their ability and recognising the relevance of these subjects to everyday life, now and in the future.
(Education Training Committee, 2006, p. xvii)

Science and technology are the widely acknowledged foundation of Australia's future development. Underpinning these are the key learning areas of mathematics and science. However, Australia is experiencing a decline in numbers of mathematics and science students in higher education. Moreover, studies over the last two decades have shown a general decline in Australian students' interest and enjoyment of science across the compulsory secondary school years, with a particularly sharp decline across the primary to secondary school transition (e.g. Adams, Doig, & Rosier 1991; Goodrum, Hackling, & Rennie, 200 I) and a decline in the numbers of students studying' advanced mathematical courses in upper secondary school (Thomas, 2000).

Improving teaching and learning in the middle years of schooling (Years 5 to 9) is receiving particular attention because of the coincidence of the disengagement of students with the significance of these years for the preparation of students for their future role in society. Thus the Improving Middle Years Mathematics and Science: The role of subject cultures in school and teacher change (IMYMS) project, which is the source of data for this paper, is investigating the role of mathematics and science' knowledge and subject cultures in mediating change processes in the middle years of schooling.

Mathematics and science are sometimes seen as "love-hate" subjects, rating highest for subjects disliked, but also rating relatively highly among preferred subjects (Hendley & Stables, 1996). Students, even primary aged students, can often shed light on what constitutes good practice (see, for example, 'van den Heuvel-Panhuizen, 2005). Students' attitudes towards mathematics and science and their perceptions of what they regard as positive aspects of classroom practice have been shown to decline from the primary years to junior secondary (Race, 2000). The decline in interest in science in the early years of secondary school is of particular concern, since it is in these years that attitudes to the pursuit of science subjects and careers are formed (Speering & Rennie, 1996). Students' negative attitude towards the relevance of science ,content for their lives was a strong theme in the report by Goodrum, Hackling, & Rennie (2001) on the status and quality of teaching and learning of science.

As part of the IMYMS project, the IMYMS Student Survey was administered to all students in 2004 and 2005. The survey included a 36 item section on students' perceptions of classroom practice and attitudes towards mathematics and science, and a 24 item section on students' learning preferences. Students completed separate, parallel surveys for mathematics and science.

This paper focuses on students' perceptions and attitudes. It explores the differences in 700 Year 5 and 6 students' perceptions of their learning environment and their attitudes to mathematics and science during 2005, the second (and final) year of schools , involvement in the IMYMS project.

Middle school melding: liaising primary-to-secondary transition

Discusses the transition from primary to secondary education in relation to mathematics. Discusses how to minimise the disruption and maximise the communication between, and effective outcomes for both levels of schooling, to help the students, while easing the professional demands placed on teachers.

How schooling, and particular schools, make a difference: values, identities and futures in longitudinal study

Just over a decade ago the authors set out to select and follow a range of young people from the age of 12 and their end of primary or first days in secondary school, to the age of 18 when most of them had embarked on the first steps of the post-school lives. Students from four different types of schools were chosen: a Melbourne high school, a high school in a Victorian regional city, a large non-government school, and a secondary school that had once been a technical school. The students were interviewed twice a year about their views of self, of school, of the future. In this article the authors discuss two aspects of the study: what sense did they get of schools and their effects on the subjectivities being formed by young people today? And, what sense did the authors get of how gender is working in young lives now? The article outlines some of the findings in relation to these two issues.

Integration at Harryson Primary School : a study of aspects of a primary school's involvement in the integration of students with disabilities into its programs

The integration of students with disabilities, impairments and problems in schooling has been stated government policy in the Victorian education system since 1984. Many schools have become involved in programs whereby students with varying disabilities have participated in the educational and social lives of their local school. This research details one primary school's experiences with the integration program. The involvement of teachers, parents, students, integration aide and principal in mutually supportive roles is described. The role of the Integration Support Group is highlighted. The participation of the students being integrated and their non-disabled peers is described in detail. The roles of the principal, the integration aide and the Integration Support Group are found to be crucial in this school's program.

Technology and music in the early years of schooling

An investigation of junior primary school children's use of computer-based music technology found that, with active support from teachers, young children were able to participate effectively in relatively complex musical processes, with particular regard to listening, performing and composing, thus extending the traditional scope of young children's music education.

Teaching music in New South Wales primary schools : 1920-1956

This thesis concerns the place of music in New South Wales schools from 1920 to 1956. The initial chapters explore issues related to the investigation and the methodology that has guided the research. To provide a foundation for the thesis as a whole, the investigation’s British antecedents are considered and the relevant literature is reviewed. Six broad themes are used as the organisational framework for this thesis: the major events that shaped schooling, the syllabus and recommended music resources, the rationales for the inclusion of music in schools, the place of school music broadcasts, music teaching practice in schools, and the provision of teacher training. Each theme forms the basis of one chapter, with the exception of one extensive theme which is discussed in two adjoining chapters.

This investigation concluded that from 1920 to 1956, the Department of Education’s fundamental aim for schooling was to develop the state’s children into good citizens. Music was valued for its ability to contribute to this aim.

During this period, the Department engaged in a policy of music transmissionism. Specifically, the Department sought to transmit the music values, knowledge and skills that it held in high regard to teachers who in turn were expected to transmit them to their students. The dominant culture and values that were transmitted were those of Britain and the British Empire—that is, music was used to transmit Britishness to children.

The investigation also concluded that during this period there was an expansion of music curriculum and pedagogy in New South Wales. However, in a oneway traffic of ideas between Britain and Australia, it was British music education practices that continued to influence the methods used in New South Wales schools.

In addition, this investigation concluded that there were past periods when New South Wales schools were very musical places—specifically, at the turn of the twentieth century, during the Second World War and during the immediate post-war years. The successes achieved in music during these times required the interplay of six factors: a Department of Education that valued music for the contribution it made to the development of children as good citizens; a Department of Education that provided strong leadership for music by employing a conscientious, inspirational music educator or educators whose sole responsibility was to champion and supervise music across the state; a Departmental expectation that music would be taught by generalist teachers who themselves had developed music expertise during their pre-service preparation or through professional development opportunities offered to them; the existence of a reward system to encourage teachers to increase their music discipline knowledge and skills; a music syllabus that was developmental and hence built on prior music knowledge and skills; and teachers who were able to deliver quality music programs to their students because they themselves were one element in a cycle of respect for music.