Children's multiplicative thinking as the recognition of equal group structures and the enumeration of the composite units was the subject of this research. In this paper, we provide an overview of the Multiplication and Division Investigations project. The results were obtained from a small sample of Australian children (n = 21) in their first…

Researchers of early childhood educators' practice have noted the usefulness of applying various conceptual and methodological resources to create accounts of complexity. This article contributes to an under-researched area, providing evidence of multi-tasking and task rotation as aspects of the complexity of early childhood educators' practice.…

Problems presented in mathematics classrooms often focus on routine tasks with students practicing mathematical techniques demonstrated by the teacher. However, this does not reflect the problem-solving process in the real world, and students often find it difficult to connect school mathematics with authentic contexts. This paper discusses…

In sharing solutions of mathematical tasks, students may use various modes of representation such as: language (oral/written), numerical and symbolic, or drawings (pictures, diagrams or markings). In this paper we explore the potential of student drawings to provide evidence of mathematical fluency. Examples of young students' (5-8 years old)…

Technology can play a pivotal role in mathematics education. Qualitative methods were used to report on how a Year 1-2 teacher incorporated "Conveyance technology" (iPads), to support the teaching and learning of mathematics through student reasoning and problem-solving. The study was conducted in Australia. A single case was chosen,…

We report on the use of a data-gathering task requiring preservice primary teachers to 'graph' their emerging relationships with mathematics. A cultural-historical activity approach was used to analyse data from nine final year preservice primary teachers to reveal what and how key events in their lives helped shape their current mathematical…

Two case studies of Australian primary school students tracked changes in their data interpretation and representation over three years. Students were engaged in predictive reasoning tasks based on their interpretation of a data table showing temperature change over time. Students' explanations and graphical representations were collected at the…

The current study explores how teachers report using enabling and extending prompts when teaching with sequences of challenging mathematical tasks. Twenty-nine early years primary school teachers completed a questionnaire following their participation in a professional learning project. Findings suggest that teachers': view prompts as important…

This article presents a story of practice regarding how a primary school addressed the issue of supporting English as an additional language or dialect (EAL/D) learners to communicate and reason in mathematics. A shared understanding across the school uncovered teachers have a critical role in supporting EAL/D learners and their acquisition and…

This article reports on a project which involved introducing challenging tasks in the early years' classrooms of twenty Victorian primary schools. The obstacles teachers encountered and how they overcame those obstacles are discussed.

Teaching and learning of integrated Science, Technology, Engineering and Mathematics (STEM) is a rapidly growing field of research with implications for both teachers and students. This qualitative research paper explores the lived experiences of STEM teachers in order to generate a model of engaging STEM tasks. Surveys and interviews with primary…

There is an educational expectation that children's natural drawing will develop into proficient mathematical representations and formal diagrams, yet there is little research available to guide the assessment and development of children's mathematical drawing skills. The aim of this paper is to explore how Year 2 children (approx. 7 years) chose…

In response to increasing teacher interest in how to design and implement effective challenging tasks, James presents the Launch/Explore/Discuss model that builds on the work of leading Australian educators and researchers Peter Sullivan, Doug Clarke, and Charles Lovitt.

Recent research on learning analytics dashboards has focused on designing user interfaces that offer various forms of "visualization guidance" (often referring to notions such as "data storytelling" or "narrative visualization") to teachers (e.g., emphasizing data points or trends with colour and adding annotations),…

Research shows that epistemic cognition can support reasoning about the inclusion of diverse children. We argue that, to engage in such reasoning, children need the capacity to consider and evaluate competing knowledge perspectives (epistemic cognition) and to be cognitively flexible. Cognitive flexibility involves a subset of skills within the…