Investigating functional thinking in the elementary classroom : foundations of early algebraic reasoning

This paper examines the development of student functional thinking during a teaching experiment that was conducted in two classrooms with a total of 45 children whose average age was nine years and six months. The teaching comprised four lessons taught by a researcher, with a second researcher and classroom teacher acting as participant observers. These lessons were designed to enable students to build mental representations in order to explore the use of function tables by focusing on the relationship between input and output numbers with the intention of extracting the algebraic nature of the arithmetic involved. All lessons were videotaped. The results indicate that elementary students are not only capable of developing functional thinking but also of communicating their thinking both verbally and symbolically.

Elementary teacher’s conceptions of inquiry teaching : messages for teacher development

The advocacy for inquiry-based learning in contemporary curricula assumes the principle that students learn in their own way by drawing on direct experience fostered by the teacher. That students should be able to discover answers themselves through active engagement with new experiences was central to the thinking of eminent educators such as Pestalozzi, Dewey and Montessori. However, even after many years of research and practice, inquiry learning as a referent for teaching still struggles to find expression in the average teachers' pedagogy. This study drew on interview data from 20 elementary teachers. A phenomenographic analysis revealed three conceptions of teaching for inquiry learning in science in the elementary years of schooling: (a) The Experience- centred conception where teachers focused on providing interesting sensory experiences to students; (b) The Problem-centred conception where teachers focused on challenging students with engaging problems; and (c) The Question-centred conception where teachers focused on helping students to ask and answer their own questions. Understanding teachers' conceptions has implications for both the enactment of inquiry teaching in the classroom as well as the uptake of new teaching behaviours during professional development, with enhanced outcomes for engaging students in Science.

Data modeling in elementary and middle school classes : a shared experience

This paper argues for a renewed focus on statistical reasoning in the elementary school years, with opportunities for children to engage in data modeling. Data modeling involves investigations of meaningful phenomena, deciding what is worthy of attention, and then progressing to organizing, structuring, visualizing, and representing data. Reported here are some findings from a two-part activity (Baxter Brown’s Picnic and Planning a Picnic) implemented at the end of the second year of a current three-year longitudinal study (grade levels 1-3). Planning a Picnic was also implemented in a grade 7 class to provide an opportunity for the different age groups to share their products. Addressed here are the grade 2 children’s predictions for missing data in Baxter Brown’s Picnic, the questions posed and representations created by both grade levels in Planning a Picnic, and the metarepresentational competence displayed in the grade levels’ sharing of their products for Planning a Picnic.

Engineering-based modelling experiences in the elementary classroom

Introducing engineering-based model-eliciting experiences in the elementary curriculum is a new and increasingly important domain of research by mathematics, science, technology, and engineering educators. Recent research has raised questions about the context of engineering problems that are meaningful, engaging, and inspiring for young students. In the present study an environmental engineering activity was implemented in two classes of 11-year-old students in Cyprus. The problem required students to develop a procedure for selecting among alternative countries from which to buy water. Students created a range of models that adequately solved the problem although not all models took into account all of the data provided. The models varied in the number of problem factors taken into consideration and also in the different approaches adopted in dealing with the problem factors. At least two groups of students integrated into their models the environmental aspect of the problem (energy consumption, water pollution) and further refined their models. Results indicate that engineering model-eliciting activities can be introduced effectively into the elementary curriculum, providing rich opportunities for students to deal with engineering contexts and to apply their learning in mathematics and science to solving real-world engineering problems.

Perspectives of teaching in Papua New Guinea : a case study of elementary teacher trainers and their mentors

Global and national agenda for quality education led to reform in Papua New Guinea (PNG) based on the provision of quality basic education. “Education for All” (EFA) is a worldwide emphasis on the review and restructure of existing curriculum and teacher training programs to provide quality education and quality life. The provision of quality education is seen as an investment in developing countries including PNG. Quality education is facilitated through structural and curriculum reform, and teacher education programs. One such influence on quality education in teacher education relates to perspectives of teaching. Existing research shows teachers’ beliefs and perceptions of teaching influence their practice (Kember & Kwan, 2000; Prosser & Trigwell, 2004). However, there is no research focusing on perspectives of teaching for elementary education in PNG. This single exploratory case study (Yin, 2009) investigated the perspectives of teaching of eighteen elementary teacher trainers and their five mentors in the context of an Australian university Bachelor of Early Childhood (in teacher education) degree programme. The study drew on an interpretivist paradigm to analyse journals, semi-structured interviews and course planning documents using a thematic approach to data analysis (Braun & Clark, 2006). The findings revealed that participants held perspectives of teaching related to teaching children and teaching adults. The perspective of teaching children described by the trainers and mentors was learning-centred (the focus is on what the teacher does); while the perspective of teaching adults was both learning-centred and learner-centred (the focus is on what the learner does). The learning-centred perspective is at odds with the learner-centred perspective espoused in the PNG reform. The perspectives of teaching adults reflected a culturally nuanced view; providing insights about how teaching and learning are understood in different sociocultural contexts. Based on these findings, the study proposes a perspective of teaching for elementary education in PNG known as culturally connected teaching. This perspective enables the co-existence of both the learning-centred and learner-centred perspectives of teaching in the PNG cultural context. This perspective has implications for teacher training and the communities involved in elementary education.

Teachers’ and children’s personal epistemologies for moral education : Case studies in early years elementary education

While there is strong interest in teaching values in Australia and internationally there is little focus on young children’s moral values learning in the classroom. Research shows that personal epistemology influences teaching and learning in a range of education contexts, including moral education. This study examines relationships between personal epistemologies (children’s and teachers’), pedagogies, and school contexts for moral learning in two early years classrooms. Interviews with teachers and children and analysis of school policy revealed clear patterns of personal epistemologies and pedagogies within each school. A whole school approach to understanding personal epistemologies and practice for moral values learning is suggested.

From barrier elimination to barrier negotiation : a qualitative study of parents' attitudes about active travel for elementary school trips

This paper examines parents' responses to key factors associated with mode choices for school trips. The research was conducted with parents of elementary school students in Denver Colorado as part of a larger investigation of school travel. School-based active travel programs aim to encourage students to walk or bike to school more frequently. To that end, planning research has identified an array of factors associated with parents' decisions to drive children to school. Many findings are interpreted as ‘barriers’ to active travel, implying that parents have similar objectives with respect to travel mode choices and that parents respond similarly and consistently to external conditions. While the conclusions are appropriate in forecasting demand and mode share with large populations, they are generally too coarse for programs that aim to influence travel behavior with individuals and small groups. This research uses content analysis of interview transcripts to examine the contexts of factors associated with parents' mode choices for trips to and from elementary school. Short, semi-structured interviews were conducted with 65 parents from 12 Denver Public Elementary Schools that had been selected to receive 2007–08 Safe Routes to School non-infrastructure grants. Transcripts were analyzed using Nvivo 8.0 to find out how parents respond to selected factors that are often described in planning literature as ‘barriers’ to active travel. Two contrasting themes emerged from the analysis: barrier elimination and barrier negotiation. Regular active travel appears to diminish parents' perceptions of barriers so that negotiation becomes second nature. Findings from this study suggest that intervention should build capacity and inclination in order to increase rates of active travel.

Understanding learning and teaching : elementary teacher trainers in Papua New Guinea engaged in cultural authorship in the context of national educational reform

Over the last decade, Papua New Guinea (PNG) has pursued educational reform in elementary teacher education. Because elementary teachers and teacher education are central to the reform agenda, there is a need to gain empirical evidence about how PNG teacher trainers’ understandings about learning and teaching impact on their practice. The study uses cultural-authorship as a theoretical framework to investigate the nature of changes in understanding about learning and teaching for 18 teacher trainers as they progressed through a two-year Bachelor of Early Childhood upgrade course. It addresses the research question: What do elementary teacher trainers in PNG understanding about learning and teaching and how has this changed during their course? The focus on such understandings provides valuable insights into their professional identities at a critical time in PNG’s education reform agenda. Analysis of journal entries at the beginning and end of the course showed that, over time, teacher trainers described increasingly more complex ways of understanding learning and teaching. These views shifted from a focus on learning and teaching as transmission of ideas to one in which the critical role played by communities and families in educational processes and the teacher as a change agent became focal. This watershed finding demonstrates notable shifts in teacher trainers’ professional identities from trainers to community leaders in elementary education.

Learning to lead : a social justice perspective on understanding elementary teacher leadership in Papua New Guinea

Leadership in elementary education is currently recognized as a political imperative in Papua New Guinea (PNG), as the nation develops strategies towards equitable access to schooling. One recent initiative aimed at building educational leadership was an intensive Australian Leadership Award Fellowship (ALAF) program funded by AusAID, involving a group of 10 teacher trainers from PNG. As part their involvement participants completed self-authored journal entries at the beginning and end of the leadership program. Participants were also involved in focus groups after completion of the initiative. Referring to the experiences of these teacher trainers, this paper draws on Nancy Fraser’s (2005, 2008) social justice framework to examine participants’ views of what constituted effective leadership in elementary education in PNG and how these views may have changed throughout the ALAF program. Key findings of this study included participants’ emphasis on relationships and valuing people in elementary education leadership contexts, participants’ concern about economic/financial barriers to effective leadership in the PNG context and participants’ perception of research as a way to support leadership roles.

Reconciling community and commerce? Collaboration between produsage communities and commercial operators

Collaborative user-led content creation by online communities, or produsage (Bruns 2008), has generated a variety of useful and important resources and other valuable outcomes, from open source software through the Wikipedia to a variety of smaller-scale, specialist projects. These are often seen as standing in an inherent opposition to commercial interests, and attempts to develop collaborations between community content creators and commercial partners have had mixed success rates to date. However, such tension between community and commerce is not inevitable, and there is substantial potential for more fruitful exchanges and collaboration. This article contributes to the development of this understanding by outlining the key underlying principles of such participatory community processes and exploring the potential tensions which could arise between these communities and their potential external partners. It also sketches out potential approaches to resolving them.

Elementary teacher education in papua new guinea: towards a culturally connected perspective of teaching

Global and national agendas for quality education have led to reforms in Papua New Guinea’s (PNG) elementary education, but criticism of the learner-centred, Western pedagogies has emerged. One key influence on quality teacher education relates to perspectives of teaching. Existing research shows teachers’ beliefs and perceptions of teaching influence their practice, however to date little research has investigated perspectives of teaching for elementary education in PNG. This single exploratory case study investigated the perspectives of teaching for eighteen elementary teacher trainers as they studied for a Bachelor of Early Childhood (Teacher Education). The study, drawing on an interpretivist paradigm, analysed journals and course planning documents using a thematic approach. The findings revealed that while the trainers’ perspectives of teaching children tended to reflect a learning-centred perspective (focused on what the teacher does), their perspectives of teaching adults were both learning-centred and learner-centred (what the learner does). Based on these findings, a culturally connected perspective of teaching is advocated for PNG elementary teacher education. This perspective enables the co-existence of both the learning-centred and learner-centred perspectives of teaching in the PNG cultural context and has implications for teacher education and the communities involved in elementary education in general.