Number sense is the foundation of arithmetic and algebra, yet relatively little research has deeply investigated what children do as they develop number sense. This case study provides insights into that development as it occurred during interactions with a multi-touch mathematics digital game, including conceptually congruent gestures. Findings…

We are at the beginning of a new era in human history--the cognitive augmentation era. Until now, humans have had to do all of the thinking. The future will make it possible for humans to partner with cognitive systems doing some of the thinking themselves and in many ways thinking that is superior to humans. Together, humans and "cogs"…

This paper describes an exploratory study observing the use of "Minecraft" (a popular sandbox style online video game environment) in a high school English literature classroom. We use Piaget and Inhelder's (1969) constructivist theories about the formal operational stage of development to interpret the concepts of plot and…

This paper establishes a link between children's development, appropriate teaching practices, and the use of computers in the early childhood classroom. The paper notes the growing body of research on young children and computers which educators can use to assist them when integrating technology into their programs. Current investigative studies…

This study investigated the development of students' abilities to see connections between algebraic equations and life-situated relationships during an extended problem solving experience. The design problem required students to analyze some aspect of their socio-physical environment for cause and effect and to generate a dynamic model using the…

This paper provides an historical perspective on the possible roles of cognitive technologies in thinking as "reorganizers" of the mind. It suggests that by understanding the transformational roles of advanced technologies for mathematical thinking, positive contributions can be made to research and practice on the use of computers in…

The Water and Molecular Networks (WAMNet) Project uses graduate student written Reduced Instruction Set Computing (RISC) computer simulations of the molecular structure of water to assist high school students learn about the nature of water. This study examined: (1) preconceptions concerning the molecular structure of water common among high…