Research Interests
Open to PhD applications in:
- Development of symbol-symbol associations: Like an onion, there are various layers of mathematical competence. We acquire mathematics knowledge layer by layer. The process begins at the inner layers (the core) and progresses to more complex outer layers. For this project, I am interested in examining how the inner layers of mathematical knowledge are developed and consolidated before moving toward the outer layers. This would allow for the development of targeted interventions to help children integrate prior knowledge with existing knowledge efficiently.
- Development of fraction knowledge: Fraction knowledge is the “gatekeeper” for later, more advanced mathematics concepts. Unfortunately, many emergent fraction learners across the globe have difficulty learning fractions. For this project, I will use the developed assessments to pinpoint the types of misconceptions students hold when they are in the early stages of their fraction learning. By exploring the frequency and onset of different types of errors, educators and teachers can identify and refute misconceptions early so that students do not build their core knowledge of fractions on erroneous beliefs.