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Making Children’s Number Sense Thinking Visible: Creating a Universally Designed Assessment in Preschool
Principal Supervisor: Professor Amy MacDonald
Co-Supervisor: Professor Lena Dainaia
This mixed methods study investigates early number sense—including understandings of quantity, counting, magnitude, and part–whole relationships—is foundational to later mathematical learning (Beliakoff, et.al., 2025). Many current assessments of early number sense generate data that may be of limited use to teachers (Wager, et al., 2015), may have limited predictive validity (de Bruin et al., 2023; Outhwaite et al., 2024) or may result in misguided understandings about what children know about mathematics (Wager et al., 2015; Clarke, 2015).
The use of Universal Design for Assessment (UDA; Thompson, Johnston & Thurlow, 2002) as a framework for developing representational assessments of early number sense in the year before school ensures all students can access the assessment task, so that valid inferences can be made about their performance. In this way, teachers are supported to come to a deeper understanding of all learners, which supports them differentiated their teaching and builds teachers’ pedagogical content knowledge in this critical area of mathematical development.
I am a Senior Research Fellow in the Effective Practice in Education program at the Australian Council for Educational Research. I lead researchers in developing assessment frameworks and assessments in a range of key learning areas in the early years. For instance, I am currently leading assessment development in executive function for the Preschool Outcomes Measure for the Commonwealth of Australia. I am also developing an assessment of reading fluency for students in early primary school.
I am particularly interested in early mathematics learning (an area I first explored in my honours degree in 1995 and presented at MERGA in 1996). At that time, I was a research assistant for Professor Janet Bobis (University of Sydney) and Professor Joanne Mulligan (Macquarie University) where we explored children’s early representations of number learning. I collected and analysed the drawings of hundreds of children in the first year of school. I was aware of Professor Amy MacDonald’s work and saw through social media that she was seeking PhD students interested in representational assessment, the very area that I had been so fascinated with in my early research career.
I anticipate the opportunity to work alongside Professor MacDonald and Professor Lena Danaia to improve reporting and assessment to inform early mathematics teaching.
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