In this article, we draw on assemblage theory to investigate how children aged 5 engage with different material surfaces to explore ordinal and relational aspects of number. The children participate in an activity in which they first interact with a strip on the floor, then with a multi-touch iPad application, to work with numbers in expressive…

The purpose of the inquiry was to understand how children in primary grades (i.e., preschool, kindergarten, and second grade) engaged with affordances and constraints of features in a Base-10 Blocks virtual manipulative mathematics app designed to promote learning opportunities. Researchers conducted one-to-one interviews with 100 primary grade…

Elementary students with autism spectrum disorders (ASD) who struggle with mathematics may be limited in opportunities to pursue advanced mathematics potentially impacting post-school outcomes, including postsecondary education and employment opportunities. Interventions that provide visual instruction, such as manipulatives, along with systematic…

The purpose of this study was to explore relationships between app affordances and user abilities in second graders' interactions with mathematics virtual manipulative touchscreen tablet apps. The research questions focused on varying manifestations of affordance-ability relationships during children's interactions with mathematics virtual…

The purpose of this study was to examine patterns of mathematical practices evident during children's interactions with touchscreen mathematics virtual manipulatives. Researchers analyzed 33 Kindergarten children's interactions during activities involving apps featuring mathematical content of early number sense or quantity in base ten, recorded…

The purpose of this project was to examine young children's mathematics learning using virtual manipulative touch-screen apps. We interviewed over 100 young children as they interacted with mathematics apps on iPads and examined how these interactions supported mathematics learning and contributed to changes in efficiency. Children interacted with…

Preschoolers' experiences with shapes are important because geometry is foundational to aspects of mathematics and it is now part of the Common Core for school-readiness. Exposure to shapes also provides experiences that are key to developing spatial thinking more broadly. Yet achieving a strong conceptual understanding of geometric categories can…

Part of a larger initiation mixed methods study (Greene, Caracelli, & Graham, 1989), this paper discusses the changes in young children's learning performance and efficiency (one element of the quantitative portion of the larger study) during clinical interviews in which each child interacted with a variety of virtual manipulative…